What is the Least Common Multiple of 637 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 637 and 644 is 58604.
LCM(637,644) = 58604
Least Common Multiple of 637 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 637 and 644, than apply into the LCM equation.
GCF(637,644) = 7
LCM(637,644) = ( 637 × 644) / 7
LCM(637,644) = 410228 / 7
LCM(637,644) = 58604
Least Common Multiple (LCM) of 637 and 644 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 637 and 644. First we will calculate the prime factors of 637 and 644.
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 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 637 and 644.
LCM(637,644) = 72 × 131 × 22 × 231
LCM(637,644) = 58604
Related Least Common Multiples of 637
- LCM of 637 and 641
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- LCM of 637 and 644
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- LCM of 637 and 646
- LCM of 637 and 647
- LCM of 637 and 648
- LCM of 637 and 649
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- LCM of 637 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
- LCM of 644 and 659
- LCM of 644 and 660
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- LCM of 644 and 664