What is the Least Common Multiple of 52944 and 52964?

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 52964 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 52964, than apply into the LCM equation.

GCF(52944,52964) = 4
LCM(52944,52964) = ( 52944 × 52964) / 4
LCM(52944,52964) = 2804126016 / 4
LCM(52944,52964) = 701031504

Least Common Multiple (LCM) of 52944 and 52964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52944 and 52964. First we will calculate the prime factors of 52944 and 52964.

Prime Factorization of 52944

Prime Factorization of 52964

Now multiplying the highest exponent prime factors to calculate the LCM of 52944 and 52964.

LCM(52944,52964) = 2⁴ × 3¹ × 1103¹ × 13241¹
LCM(52944,52964) = 701031504