What is the Least Common Multiple of 54948 and 54957?

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 54948 and 54957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54948 and 54957, than apply into the LCM equation.

GCF(54948,54957) = 3
LCM(54948,54957) = ( 54948 × 54957) / 3
LCM(54948,54957) = 3019777236 / 3
LCM(54948,54957) = 1006592412

Least Common Multiple (LCM) of 54948 and 54957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54948 and 54957. First we will calculate the prime factors of 54948 and 54957.

Prime Factorization of 54948

Prime Factorization of 54957

Now multiplying the highest exponent prime factors to calculate the LCM of 54948 and 54957.

LCM(54948,54957) = 2² × 3¹ × 19¹ × 241¹ × 7¹ × 2617¹
LCM(54948,54957) = 1006592412