What is the Least Common Multiple of 32664 and 32676?

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 32664 and 32676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32664 and 32676, than apply into the LCM equation.

GCF(32664,32676) = 12
LCM(32664,32676) = ( 32664 × 32676) / 12
LCM(32664,32676) = 1067328864 / 12
LCM(32664,32676) = 88944072

Least Common Multiple (LCM) of 32664 and 32676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32664 and 32676. First we will calculate the prime factors of 32664 and 32676.

Prime Factorization of 32664

Prime Factorization of 32676

Now multiplying the highest exponent prime factors to calculate the LCM of 32664 and 32676.

LCM(32664,32676) = 2³ × 3¹ × 1361¹ × 7¹ × 389¹
LCM(32664,32676) = 88944072