What is the Least Common Multiple of 32660 and 32675?

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 32660 and 32675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32660 and 32675, than apply into the LCM equation.

GCF(32660,32675) = 5
LCM(32660,32675) = ( 32660 × 32675) / 5
LCM(32660,32675) = 1067165500 / 5
LCM(32660,32675) = 213433100

Least Common Multiple (LCM) of 32660 and 32675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32660 and 32675. First we will calculate the prime factors of 32660 and 32675.

Prime Factorization of 32660

Prime Factorization of 32675

Now multiplying the highest exponent prime factors to calculate the LCM of 32660 and 32675.

LCM(32660,32675) = 2² × 5² × 23¹ × 71¹ × 1307¹
LCM(32660,32675) = 213433100