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What is the Least Common Multiple of 7660 and 7664?

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 7660 and 7664 is 14676560.

LCM(7660,7664) = 14676560

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Least Common Multiple of 7660 and 7664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7660 and 7664, than apply into the LCM equation.

GCF(7660,7664) = 4
LCM(7660,7664) = ( 7660 × 7664) / 4
LCM(7660,7664) = 58706240 / 4
LCM(7660,7664) = 14676560

Least Common Multiple (LCM) of 7660 and 7664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7660 and 7664. First we will calculate the prime factors of 7660 and 7664.

Prime Factorization of 7660

Prime factors of 7660 are 2, 5, 383. Prime factorization of 7660 in exponential form is:

7660 = 22 × 51 × 3831

Prime Factorization of 7664

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

7664 = 24 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 7660 and 7664.

LCM(7660,7664) = 24 × 51 × 3831 × 4791
LCM(7660,7664) = 14676560