What is the Least Common Multiple of 52944 and 52953?

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 52944 and 52953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52944 and 52953, than apply into the LCM equation.

GCF(52944,52953) = 3
LCM(52944,52953) = ( 52944 × 52953) / 3
LCM(52944,52953) = 2803543632 / 3
LCM(52944,52953) = 934514544

Least Common Multiple (LCM) of 52944 and 52953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52944 and 52953. First we will calculate the prime factors of 52944 and 52953.

Prime Factorization of 52944

Prime Factorization of 52953

Now multiplying the highest exponent prime factors to calculate the LCM of 52944 and 52953.

LCM(52944,52953) = 2⁴ × 3¹ × 1103¹ × 19¹ × 929¹
LCM(52944,52953) = 934514544