What is the Least Common Multiple of 635 and 642?
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 635 and 642 is 407670.
LCM(635,642) = 407670
Least Common Multiple of 635 and 642 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 635 and 642, than apply into the LCM equation.
GCF(635,642) = 1
LCM(635,642) = ( 635 × 642) / 1
LCM(635,642) = 407670 / 1
LCM(635,642) = 407670
Least Common Multiple (LCM) of 635 and 642 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 635 and 642. First we will calculate the prime factors of 635 and 642.
Prime Factorization of 635
Prime factors of 635 are 5, 127. Prime factorization of 635 in exponential form is:
635 = 51 × 1271
Prime Factorization of 642
Prime factors of 642 are 2, 3, 107. Prime factorization of 642 in exponential form is:
642 = 21 × 31 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 635 and 642.
LCM(635,642) = 51 × 1271 × 21 × 31 × 1071
LCM(635,642) = 407670
Related Least Common Multiples of 635
- LCM of 635 and 639
- LCM of 635 and 640
- LCM of 635 and 641
- LCM of 635 and 642
- LCM of 635 and 643
- LCM of 635 and 644
- LCM of 635 and 645
- LCM of 635 and 646
- LCM of 635 and 647
- LCM of 635 and 648
- LCM of 635 and 649
- LCM of 635 and 650
- LCM of 635 and 651
- LCM of 635 and 652
- LCM of 635 and 653
- LCM of 635 and 654
- LCM of 635 and 655
Related Least Common Multiples of 642
- LCM of 642 and 646
- LCM of 642 and 647
- LCM of 642 and 648
- LCM of 642 and 649
- LCM of 642 and 650
- LCM of 642 and 651
- LCM of 642 and 652
- LCM of 642 and 653
- LCM of 642 and 654
- LCM of 642 and 655
- LCM of 642 and 656
- LCM of 642 and 657
- LCM of 642 and 658
- LCM of 642 and 659
- LCM of 642 and 660
- LCM of 642 and 661
- LCM of 642 and 662