What is the Least Common Multiple of 32922 and 32928?

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 32922 and 32928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32922 and 32928, than apply into the LCM equation.

GCF(32922,32928) = 6
LCM(32922,32928) = ( 32922 × 32928) / 6
LCM(32922,32928) = 1084055616 / 6
LCM(32922,32928) = 180675936

Least Common Multiple (LCM) of 32922 and 32928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32922 and 32928. First we will calculate the prime factors of 32922 and 32928.

Prime Factorization of 32922

Prime Factorization of 32928

Now multiplying the highest exponent prime factors to calculate the LCM of 32922 and 32928.

LCM(32922,32928) = 2⁵ × 3² × 31¹ × 59¹ × 7³
LCM(32922,32928) = 180675936