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What is the Least Common Multiple of 64647 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 64647 and 64664 is 4180333608.

LCM(64647,64664) = 4180333608

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Least Common Multiple of 64647 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 64647 and 64664, than apply into the LCM equation.

GCF(64647,64664) = 1
LCM(64647,64664) = ( 64647 × 64664) / 1
LCM(64647,64664) = 4180333608 / 1
LCM(64647,64664) = 4180333608

Least Common Multiple (LCM) of 64647 and 64664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64647 and 64664. First we will calculate the prime factors of 64647 and 64664.

Prime Factorization of 64647

Prime factors of 64647 are 3, 11, 653. Prime factorization of 64647 in exponential form is:

64647 = 32 × 111 × 6531

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 64647 and 64664.

LCM(64647,64664) = 32 × 111 × 6531 × 23 × 591 × 1371
LCM(64647,64664) = 4180333608