What is the Least Common Multiple of 74912 and 74924?

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 74912 and 74924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74912 and 74924, than apply into the LCM equation.

GCF(74912,74924) = 4
LCM(74912,74924) = ( 74912 × 74924) / 4
LCM(74912,74924) = 5612706688 / 4
LCM(74912,74924) = 1403176672

Least Common Multiple (LCM) of 74912 and 74924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74912 and 74924. First we will calculate the prime factors of 74912 and 74924.

Prime Factorization of 74912

Prime Factorization of 74924

Now multiplying the highest exponent prime factors to calculate the LCM of 74912 and 74924.

LCM(74912,74924) = 2⁵ × 2341¹ × 18731¹
LCM(74912,74924) = 1403176672