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What is the Least Common Multiple of 6660 and 6672?

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 6660 and 6672 is 3702960.

LCM(6660,6672) = 3702960

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Least Common Multiple of 6660 and 6672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6660 and 6672, than apply into the LCM equation.

GCF(6660,6672) = 12
LCM(6660,6672) = ( 6660 × 6672) / 12
LCM(6660,6672) = 44435520 / 12
LCM(6660,6672) = 3702960

Least Common Multiple (LCM) of 6660 and 6672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6660 and 6672. First we will calculate the prime factors of 6660 and 6672.

Prime Factorization of 6660

Prime factors of 6660 are 2, 3, 5, 37. Prime factorization of 6660 in exponential form is:

6660 = 22 × 32 × 51 × 371

Prime Factorization of 6672

Prime factors of 6672 are 2, 3, 139. Prime factorization of 6672 in exponential form is:

6672 = 24 × 31 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 6660 and 6672.

LCM(6660,6672) = 24 × 32 × 51 × 371 × 1391
LCM(6660,6672) = 3702960