What is the Least Common Multiple of 72948 and 72957?

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 72948 and 72957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72948 and 72957, than apply into the LCM equation.

GCF(72948,72957) = 3
LCM(72948,72957) = ( 72948 × 72957) / 3
LCM(72948,72957) = 5322067236 / 3
LCM(72948,72957) = 1774022412

Least Common Multiple (LCM) of 72948 and 72957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72948 and 72957. First we will calculate the prime factors of 72948 and 72957.

Prime Factorization of 72948

Prime Factorization of 72957

Now multiplying the highest exponent prime factors to calculate the LCM of 72948 and 72957.

LCM(72948,72957) = 2² × 3¹ × 6079¹ × 83¹ × 293¹
LCM(72948,72957) = 1774022412