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What is the Least Common Multiple of 64646 and 64664?

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 64646 and 64664 is 2090134472.

LCM(64646,64664) = 2090134472

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Least Common Multiple of 64646 and 64664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64646 and 64664, than apply into the LCM equation.

GCF(64646,64664) = 2
LCM(64646,64664) = ( 64646 × 64664) / 2
LCM(64646,64664) = 4180268944 / 2
LCM(64646,64664) = 2090134472

Least Common Multiple (LCM) of 64646 and 64664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64646 and 64664. First we will calculate the prime factors of 64646 and 64664.

Prime Factorization of 64646

Prime factors of 64646 are 2, 32323. Prime factorization of 64646 in exponential form is:

64646 = 21 × 323231

Prime Factorization of 64664

Prime factors of 64664 are 2, 59, 137. Prime factorization of 64664 in exponential form is:

64664 = 23 × 591 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 64646 and 64664.

LCM(64646,64664) = 23 × 323231 × 591 × 1371
LCM(64646,64664) = 2090134472