What is the Least Common Multiple of 74944 and 74952?

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 74944 and 74952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74944 and 74952, than apply into the LCM equation.

GCF(74944,74952) = 8
LCM(74944,74952) = ( 74944 × 74952) / 8
LCM(74944,74952) = 5617202688 / 8
LCM(74944,74952) = 702150336

Least Common Multiple (LCM) of 74944 and 74952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74944 and 74952. First we will calculate the prime factors of 74944 and 74952.

Prime Factorization of 74944

Prime Factorization of 74952

Now multiplying the highest exponent prime factors to calculate the LCM of 74944 and 74952.

LCM(74944,74952) = 2⁶ × 1171¹ × 3³ × 347¹
LCM(74944,74952) = 702150336