What is the Least Common Multiple of 636 and 641?
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 641 is 407676.
LCM(636,641) = 407676
Least Common Multiple of 636 and 641 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 641, than apply into the LCM equation.
GCF(636,641) = 1
LCM(636,641) = ( 636 × 641) / 1
LCM(636,641) = 407676 / 1
LCM(636,641) = 407676
Least Common Multiple (LCM) of 636 and 641 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 636 and 641. First we will calculate the prime factors of 636 and 641.
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 641
Prime factors of 641 are 641. Prime factorization of 641 in exponential form is:
641 = 6411
Now multiplying the highest exponent prime factors to calculate the LCM of 636 and 641.
LCM(636,641) = 22 × 31 × 531 × 6411
LCM(636,641) = 407676
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Related Least Common Multiples of 641
- LCM of 641 and 645
- LCM of 641 and 646
- LCM of 641 and 647
- LCM of 641 and 648
- LCM of 641 and 649
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