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What is the Least Common Multiple of 2664 and 2672?

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 2664 and 2672 is 889776.

LCM(2664,2672) = 889776

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Least Common Multiple of 2664 and 2672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2664 and 2672, than apply into the LCM equation.

GCF(2664,2672) = 8
LCM(2664,2672) = ( 2664 × 2672) / 8
LCM(2664,2672) = 7118208 / 8
LCM(2664,2672) = 889776

Least Common Multiple (LCM) of 2664 and 2672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2664 and 2672. First we will calculate the prime factors of 2664 and 2672.

Prime Factorization of 2664

Prime factors of 2664 are 2, 3, 37. Prime factorization of 2664 in exponential form is:

2664 = 23 × 32 × 371

Prime Factorization of 2672

Prime factors of 2672 are 2, 167. Prime factorization of 2672 in exponential form is:

2672 = 24 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 2664 and 2672.

LCM(2664,2672) = 24 × 32 × 371 × 1671
LCM(2664,2672) = 889776