What is the Least Common Multiple of 4944 and 4953?

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 4944 and 4953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4944 and 4953, than apply into the LCM equation.

GCF(4944,4953) = 3
LCM(4944,4953) = ( 4944 × 4953) / 3
LCM(4944,4953) = 24487632 / 3
LCM(4944,4953) = 8162544

Least Common Multiple (LCM) of 4944 and 4953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4944 and 4953. First we will calculate the prime factors of 4944 and 4953.

Prime Factorization of 4944

Prime Factorization of 4953

Now multiplying the highest exponent prime factors to calculate the LCM of 4944 and 4953.

LCM(4944,4953) = 2⁴ × 3¹ × 103¹ × 13¹ × 127¹
LCM(4944,4953) = 8162544