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What is the Least Common Multiple of 64672 and 64680?

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 64672 and 64680 is 522873120.

LCM(64672,64680) = 522873120

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Least Common Multiple of 64672 and 64680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64672 and 64680, than apply into the LCM equation.

GCF(64672,64680) = 8
LCM(64672,64680) = ( 64672 × 64680) / 8
LCM(64672,64680) = 4182984960 / 8
LCM(64672,64680) = 522873120

Least Common Multiple (LCM) of 64672 and 64680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64672 and 64680. First we will calculate the prime factors of 64672 and 64680.

Prime Factorization of 64672

Prime factors of 64672 are 2, 43, 47. Prime factorization of 64672 in exponential form is:

64672 = 25 × 431 × 471

Prime Factorization of 64680

Prime factors of 64680 are 2, 3, 5, 7, 11. Prime factorization of 64680 in exponential form is:

64680 = 23 × 31 × 51 × 72 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 64672 and 64680.

LCM(64672,64680) = 25 × 431 × 471 × 31 × 51 × 72 × 111
LCM(64672,64680) = 522873120