What is the Least Common Multiple of 32955 and 32975?

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 32955 and 32975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32955 and 32975, than apply into the LCM equation.

GCF(32955,32975) = 5
LCM(32955,32975) = ( 32955 × 32975) / 5
LCM(32955,32975) = 1086691125 / 5
LCM(32955,32975) = 217338225

Least Common Multiple (LCM) of 32955 and 32975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32955 and 32975. First we will calculate the prime factors of 32955 and 32975.

Prime Factorization of 32955

Prime Factorization of 32975

Now multiplying the highest exponent prime factors to calculate the LCM of 32955 and 32975.

LCM(32955,32975) = 3¹ × 5² × 13³ × 1319¹
LCM(32955,32975) = 217338225