What is the Least Common Multiple of 637 and 646?
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 637 and 646 is 411502.
LCM(637,646) = 411502
Least Common Multiple of 637 and 646 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 637 and 646, than apply into the LCM equation.
GCF(637,646) = 1
LCM(637,646) = ( 637 × 646) / 1
LCM(637,646) = 411502 / 1
LCM(637,646) = 411502
Least Common Multiple (LCM) of 637 and 646 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 637 and 646. First we will calculate the prime factors of 637 and 646.
Prime Factorization of 637
Prime factors of 637 are 7, 13. Prime factorization of 637 in exponential form is:
637 = 72 × 131
Prime Factorization of 646
Prime factors of 646 are 2, 17, 19. Prime factorization of 646 in exponential form is:
646 = 21 × 171 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 637 and 646.
LCM(637,646) = 72 × 131 × 21 × 171 × 191
LCM(637,646) = 411502
Related Least Common Multiples of 637
- LCM of 637 and 641
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- LCM of 637 and 646
- LCM of 637 and 647
- LCM of 637 and 648
- LCM of 637 and 649
- LCM of 637 and 650
- LCM of 637 and 651
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- LCM of 637 and 653
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Related Least Common Multiples of 646
- LCM of 646 and 650
- LCM of 646 and 651
- LCM of 646 and 652
- LCM of 646 and 653
- LCM of 646 and 654
- LCM of 646 and 655
- LCM of 646 and 656
- LCM of 646 and 657
- LCM of 646 and 658
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