Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 306432 and 306436 the smallest integer that is 23475449088 that is divisible by both numbers.
Least Common Multiple (LCM) of 306432 and 306436 is 23475449088.
LCM(306432,306436) = 23475449088
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 306432 and 306436. First we will calculate the prime factors of 306432 and 306436.
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
Prime Factorization of 306436
2 | 306436 |
2 | 153218 |
13 | 76609 |
71 | 5893 |
83 | 83 |
1 |
Prime factors of 306436 are 2, 13, 71,83. Prime factorization of 306436 in exponential form is:
306436 = 22×131×711×831
Now multiplying the highest exponent prime factors to calculate the LCM of 306432 and 306436.
LCM(306432,306436) = 28×32×71×131×191×711×831
LCM(306432,306436) = 23475449088
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
Factors of 306436
List of positive integer factors of 306436 that divides 306436 without a remainder.
1, 2, 4, 13, 26, 52, 71, 83, 142, 166, 284, 332, 923, 1079, 1846, 2158, 3692, 4316, 5893, 11786, 23572, 76609, 153218, 306436
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306432 and 306436, than apply into the LCM equation.
GCF(306432,306436) = 4
LCM(306432,306436) = ( 306432 × 306436) / 4
LCM(306432,306436) = 93901796352 / 4
LCM(306432,306436) = 23475449088
(i) The LCM of 306436 and 306432 is associative
LCM of 306432 and 306436 = LCM of 306436 and 306432
1. What is the LCM of 306432 and 306436?
Answer: LCM of 306432 and 306436 is 23475449088.
2. 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.
3. What are the Factors of 306436?
Answer: Factors of 306436 are 1, 2, 4, 13, 26, 52, 71, 83, 142, 166, 284, 332, 923, 1079, 1846, 2158, 3692, 4316, 5893, 11786, 23572, 76609, 153218, 306436. There are 24 integers that are factors of 306436. The greatest factor of 306436 is 306436.
4. How to Find the LCM of 306432 and 306436?
Answer:
Least Common Multiple of 306432 and 306436 = 23475449088
Step 1: 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 2: Find the prime factorization of 306436
306436 = 2 x 2 x 13 x 71 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23475449088 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 13 x 19 x 71 x 83
Step 4: Therefore, the least common multiple of 306432 and 306436 is 23475449088.