What is the Least Common Multiple of 74649 and 74664?

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 74649 and 74664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74649 and 74664, than apply into the LCM equation.

GCF(74649,74664) = 3
LCM(74649,74664) = ( 74649 × 74664) / 3
LCM(74649,74664) = 5573592936 / 3
LCM(74649,74664) = 1857864312

Least Common Multiple (LCM) of 74649 and 74664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74649 and 74664. First we will calculate the prime factors of 74649 and 74664.

Prime Factorization of 74649

Prime Factorization of 74664

Now multiplying the highest exponent prime factors to calculate the LCM of 74649 and 74664.

LCM(74649,74664) = 3² × 149¹ × 167¹ × 2³ × 17¹ × 61¹
LCM(74649,74664) = 1857864312