What is the Least Common Multiple of 636 and 644?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 636 and 644 is 102396.
LCM(636,644) = 102396
Least Common Multiple of 636 and 644 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 636 and 644, than apply into the LCM equation.
GCF(636,644) = 4
LCM(636,644) = ( 636 × 644) / 4
LCM(636,644) = 409584 / 4
LCM(636,644) = 102396
Least Common Multiple (LCM) of 636 and 644 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 636 and 644. First we will calculate the prime factors of 636 and 644.
Prime Factorization of 636
Prime factors of 636 are 2, 3, 53. Prime factorization of 636 in exponential form is:
636 = 22 × 31 × 531
Prime Factorization of 644
Prime factors of 644 are 2, 7, 23. Prime factorization of 644 in exponential form is:
644 = 22 × 71 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 636 and 644.
LCM(636,644) = 22 × 31 × 531 × 71 × 231
LCM(636,644) = 102396
Related Least Common Multiples of 636
- LCM of 636 and 640
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- LCM of 636 and 643
- LCM of 636 and 644
- LCM of 636 and 645
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- LCM of 636 and 647
- LCM of 636 and 648
- LCM of 636 and 649
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- LCM of 636 and 653
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Related Least Common Multiples of 644
- LCM of 644 and 648
- LCM of 644 and 649
- LCM of 644 and 650
- LCM of 644 and 651
- LCM of 644 and 652
- LCM of 644 and 653
- LCM of 644 and 654
- LCM of 644 and 655
- LCM of 644 and 656
- LCM of 644 and 657
- LCM of 644 and 658
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