What is the Least Common Multiple of 74952 and 74972?

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 74952 and 74972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74952 and 74972, than apply into the LCM equation.

GCF(74952,74972) = 4
LCM(74952,74972) = ( 74952 × 74972) / 4
LCM(74952,74972) = 5619301344 / 4
LCM(74952,74972) = 1404825336

Least Common Multiple (LCM) of 74952 and 74972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74952 and 74972. First we will calculate the prime factors of 74952 and 74972.

Prime Factorization of 74952

Prime Factorization of 74972

Now multiplying the highest exponent prime factors to calculate the LCM of 74952 and 74972.

LCM(74952,74972) = 2³ × 3³ × 347¹ × 18743¹
LCM(74952,74972) = 1404825336