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What is the Least Common Multiple of 7664 and 7675?

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 7664 and 7675 is 58821200.

LCM(7664,7675) = 58821200

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Least Common Multiple of 7664 and 7675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7664 and 7675, than apply into the LCM equation.

GCF(7664,7675) = 1
LCM(7664,7675) = ( 7664 × 7675) / 1
LCM(7664,7675) = 58821200 / 1
LCM(7664,7675) = 58821200

Least Common Multiple (LCM) of 7664 and 7675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7664 and 7675. First we will calculate the prime factors of 7664 and 7675.

Prime Factorization of 7664

Prime factors of 7664 are 2, 479. Prime factorization of 7664 in exponential form is:

7664 = 24 × 4791

Prime Factorization of 7675

Prime factors of 7675 are 5, 307. Prime factorization of 7675 in exponential form is:

7675 = 52 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 7664 and 7675.

LCM(7664,7675) = 24 × 4791 × 52 × 3071
LCM(7664,7675) = 58821200