What is the Least Common Multiple of 12672 and 12684?

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 12684 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 12684, than apply into the LCM equation.

GCF(12672,12684) = 12
LCM(12672,12684) = ( 12672 × 12684) / 12
LCM(12672,12684) = 160731648 / 12
LCM(12672,12684) = 13394304

Least Common Multiple (LCM) of 12672 and 12684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12672 and 12684. First we will calculate the prime factors of 12672 and 12684.

Prime Factorization of 12672

Prime Factorization of 12684

Now multiplying the highest exponent prime factors to calculate the LCM of 12672 and 12684.

LCM(12672,12684) = 2⁷ × 3² × 11¹ × 7¹ × 151¹
LCM(12672,12684) = 13394304