What is the Least Common Multiple of 32964 and 32976?

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 32964 and 32976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32964 and 32976, than apply into the LCM equation.

GCF(32964,32976) = 12
LCM(32964,32976) = ( 32964 × 32976) / 12
LCM(32964,32976) = 1087020864 / 12
LCM(32964,32976) = 90585072

Least Common Multiple (LCM) of 32964 and 32976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32964 and 32976. First we will calculate the prime factors of 32964 and 32976.

Prime Factorization of 32964

Prime Factorization of 32976

Now multiplying the highest exponent prime factors to calculate the LCM of 32964 and 32976.

LCM(32964,32976) = 2⁴ × 3² × 41¹ × 67¹ × 229¹
LCM(32964,32976) = 90585072