What is the Least Common Multiple of 12672 and 12687?

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 of 12672 and 12687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12672 and 12687, than apply into the LCM equation.

GCF(12672,12687) = 3
LCM(12672,12687) = ( 12672 × 12687) / 3
LCM(12672,12687) = 160769664 / 3
LCM(12672,12687) = 53589888

Least Common Multiple (LCM) of 12672 and 12687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12672 and 12687. First we will calculate the prime factors of 12672 and 12687.

Prime Factorization of 12672

Prime Factorization of 12687

Now multiplying the highest exponent prime factors to calculate the LCM of 12672 and 12687.

LCM(12672,12687) = 2⁷ × 3² × 11¹ × 4229¹
LCM(12672,12687) = 53589888