What is the Least Common Multiple of 638 and 643?
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 638 and 643 is 410234.
LCM(638,643) = 410234
Least Common Multiple of 638 and 643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 638 and 643, than apply into the LCM equation.
GCF(638,643) = 1
LCM(638,643) = ( 638 × 643) / 1
LCM(638,643) = 410234 / 1
LCM(638,643) = 410234
Least Common Multiple (LCM) of 638 and 643 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 638 and 643. First we will calculate the prime factors of 638 and 643.
Prime Factorization of 638
Prime factors of 638 are 2, 11, 29. Prime factorization of 638 in exponential form is:
638 = 21 × 111 × 291
Prime Factorization of 643
Prime factors of 643 are 643. Prime factorization of 643 in exponential form is:
643 = 6431
Now multiplying the highest exponent prime factors to calculate the LCM of 638 and 643.
LCM(638,643) = 21 × 111 × 291 × 6431
LCM(638,643) = 410234
Related Least Common Multiples of 638
- LCM of 638 and 642
- LCM of 638 and 643
- LCM of 638 and 644
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- LCM of 638 and 647
- LCM of 638 and 648
- LCM of 638 and 649
- LCM of 638 and 650
- LCM of 638 and 651
- LCM of 638 and 652
- LCM of 638 and 653
- LCM of 638 and 654
- LCM of 638 and 655
- LCM of 638 and 656
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Related Least Common Multiples of 643
- LCM of 643 and 647
- LCM of 643 and 648
- LCM of 643 and 649
- LCM of 643 and 650
- LCM of 643 and 651
- LCM of 643 and 652
- LCM of 643 and 653
- LCM of 643 and 654
- LCM of 643 and 655
- LCM of 643 and 656
- LCM of 643 and 657
- LCM of 643 and 658
- LCM of 643 and 659
- LCM of 643 and 660
- LCM of 643 and 661
- LCM of 643 and 662
- LCM of 643 and 663