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What is the Least Common Multiple of 635 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 635 and 641 is 407035.

LCM(635,641) = 407035

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Least Common Multiple of 635 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 635 and 641, than apply into the LCM equation.

GCF(635,641) = 1
LCM(635,641) = ( 635 × 641) / 1
LCM(635,641) = 407035 / 1
LCM(635,641) = 407035

Least Common Multiple (LCM) of 635 and 641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 635 and 641. First we will calculate the prime factors of 635 and 641.

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 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 635 and 641.

LCM(635,641) = 51 × 1271 × 6411
LCM(635,641) = 407035