Least Common Multiple of 306424 and 306432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306424 and 306432 the smallest integer that is 11737264896 that is divisible by both numbers.

Least Common Multiple (LCM) of 306424 and 306432 is 11737264896.

LCM(306424,306432) = 11737264896

LCM of 306424 and 306432

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 306424 and 306432

LCM of 306424 and 306432 is 11737264896

Least common multiple can be found by multiplying the highest exponent prime factors of 306424 and 306432. First we will calculate the prime factors of 306424 and 306432.

Prime Factorization of 306424


2 306424
2 153212
2 76606
38303 38303
1

Prime factors of 306424 are 2,38303. Prime factorization of 306424 in exponential form is:

306424 = 23×383031

Prime Factorization of 306432


2 306432
2 153216
2 76608
2 38304
2 19152
2 9576
2 4788
2 2394
3 1197
3 399
7 133
19 19
1

Prime factors of 306432 are 2, 3, 7,19. Prime factorization of 306432 in exponential form is:

306432 = 28×32×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 306424 and 306432.

LCM(306424,306432) = 28×32×71×191×383031
LCM(306424,306432) = 11737264896

Factors of 306424

List of positive integer factors of 306424 that divides 306424 without a remainder.

1, 2, 4, 8, 38303, 76606, 153212, 306424

Factors of 306432

List of positive integer factors of 306432 that divides 306432 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 19, 21, 24, 28, 32, 36, 38, 42, 48, 56, 57, 63, 64, 72, 76, 84, 96, 112, 114, 126, 128, 133, 144, 152, 168, 171, 192, 224, 228, 252, 256, 266, 288, 304, 336, 342, 384, 399, 448, 456, 504, 532, 576, 608, 672, 684, 768, 798, 896, 912, 1008, 1064, 1152, 1197, 1216, 1344, 1368, 1596, 1792, 1824, 2016, 2128, 2304, 2394, 2432, 2688, 2736, 3192, 3648, 4032, 4256, 4788, 4864, 5376, 5472, 6384, 7296, 8064, 8512, 9576, 10944, 12768, 14592, 16128, 17024, 19152, 21888, 25536, 34048, 38304, 43776, 51072, 76608, 102144, 153216, 306432

Least Common Multiple of 306424 and 306432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306424 and 306432, than apply into the LCM equation.

GCF(306424,306432) = 8
LCM(306424,306432) = ( 306424 × 306432) / 8
LCM(306424,306432) = 93898119168 / 8
LCM(306424,306432) = 11737264896

Properties of LCM 306424 and 306432

(i) The LCM of 306432 and 306424 is associative

LCM of 306424 and 306432 = LCM of 306432 and 306424

Related Least Common Multiples of 306424

Related Least Common Multiples of 306432

Frequently Asked Questions on LCM of 306424 and 306432

1. What is the LCM of 306424 and 306432?

Answer: LCM of 306424 and 306432 is 11737264896.

2. What are the Factors of 306424?

Answer: Factors of 306424 are 1, 2, 4, 8, 38303, 76606, 153212, 306424. There are 8 integers that are factors of 306424. The greatest factor of 306424 is 306424.

3. What are the Factors of 306432?

Answer: Factors of 306432 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 19, 21, 24, 28, 32, 36, 38, 42, 48, 56, 57, 63, 64, 72, 76, 84, 96, 112, 114, 126, 128, 133, 144, 152, 168, 171, 192, 224, 228, 252, 256, 266, 288, 304, 336, 342, 384, 399, 448, 456, 504, 532, 576, 608, 672, 684, 768, 798, 896, 912, 1008, 1064, 1152, 1197, 1216, 1344, 1368, 1596, 1792, 1824, 2016, 2128, 2304, 2394, 2432, 2688, 2736, 3192, 3648, 4032, 4256, 4788, 4864, 5376, 5472, 6384, 7296, 8064, 8512, 9576, 10944, 12768, 14592, 16128, 17024, 19152, 21888, 25536, 34048, 38304, 43776, 51072, 76608, 102144, 153216, 306432. There are 108 integers that are factors of 306432. The greatest factor of 306432 is 306432.

4. How to Find the LCM of 306424 and 306432?

Answer:

Least Common Multiple of 306424 and 306432 = 11737264896

Step 1: Find the prime factorization of 306424

306424 = 2 x 2 x 2 x 38303

Step 2: Find the prime factorization of 306432

306432 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 19

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 11737264896 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 19 x 38303

Step 4: Therefore, the least common multiple of 306424 and 306432 is 11737264896.