What is the Least Common Multiple of 32976 and 32992?

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 32976 and 32992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32976 and 32992, than apply into the LCM equation.

GCF(32976,32992) = 16
LCM(32976,32992) = ( 32976 × 32992) / 16
LCM(32976,32992) = 1087944192 / 16
LCM(32976,32992) = 67996512

Least Common Multiple (LCM) of 32976 and 32992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32976 and 32992. First we will calculate the prime factors of 32976 and 32992.

Prime Factorization of 32976

Prime Factorization of 32992

Now multiplying the highest exponent prime factors to calculate the LCM of 32976 and 32992.

LCM(32976,32992) = 2⁵ × 3² × 229¹ × 1031¹
LCM(32976,32992) = 67996512