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What is the Least Common Multiple of 64621 and 64638?

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 64621 and 64638 is 4176972198.

LCM(64621,64638) = 4176972198

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Least Common Multiple of 64621 and 64638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64621 and 64638, than apply into the LCM equation.

GCF(64621,64638) = 1
LCM(64621,64638) = ( 64621 × 64638) / 1
LCM(64621,64638) = 4176972198 / 1
LCM(64621,64638) = 4176972198

Least Common Multiple (LCM) of 64621 and 64638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64621 and 64638. First we will calculate the prime factors of 64621 and 64638.

Prime Factorization of 64621

Prime factors of 64621 are 64621. Prime factorization of 64621 in exponential form is:

64621 = 646211

Prime Factorization of 64638

Prime factors of 64638 are 2, 3, 7, 19. Prime factorization of 64638 in exponential form is:

64638 = 21 × 35 × 71 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 64621 and 64638.

LCM(64621,64638) = 646211 × 21 × 35 × 71 × 191
LCM(64621,64638) = 4176972198