Least Common Multiple of 306428 and 306432

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

• Least Common Multiple of 306428 and 306432 by Prime method
• Least Common Multiple of 306428 and 306432 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306428 and 306432. First we will calculate the prime factors of 306428 and 306432.

Prime Factorization of 306428

Prime factors of 306428 are 2,76607. Prime factorization of 306428 in exponential form is:

306428 = 2²×76607¹

Prime Factorization of 306432

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 306428 and 306432.

LCM(306428,306432) = 2⁸×3²×7¹×19¹×76607¹
LCM(306428,306432) = 23474836224

Factors of 306428

List of positive integer factors of 306428 that divides 306428 without a remainder.

1, 2, 4, 76607, 153214, 306428

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306428 and 306432, than apply into the LCM equation.

GCF(306428,306432) = 4
LCM(306428,306432) = ( 306428 × 306432) / 4
LCM(306428,306432) = 93899344896 / 4
LCM(306428,306432) = 23474836224

(i) The LCM of 306432 and 306428 is associative

LCM of 306428 and 306432 = LCM of 306432 and 306428

1. What is the LCM of 306428 and 306432?

Answer: LCM of 306428 and 306432 is 23474836224.

2. What are the Factors of 306428?

Answer: Factors of 306428 are 1, 2, 4, 76607, 153214, 306428. There are 6 integers that are factors of 306428. The greatest factor of 306428 is 306428.

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 306428 and 306432?

Answer:

Least Common Multiple of 306428 and 306432 = 23474836224

Step 1: Find the prime factorization of 306428

306428 = 2 x 2 x 76607

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 = 23474836224 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 19 x 76607

Step 4: Therefore, the least common multiple of 306428 and 306432 is 23474836224.