What is the Least Common Multiple of 36654 and 36664?

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 36654 and 36664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36654 and 36664, than apply into the LCM equation.

GCF(36654,36664) = 2
LCM(36654,36664) = ( 36654 × 36664) / 2
LCM(36654,36664) = 1343882256 / 2
LCM(36654,36664) = 671941128

Least Common Multiple (LCM) of 36654 and 36664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36654 and 36664. First we will calculate the prime factors of 36654 and 36664.

Prime Factorization of 36654

Prime Factorization of 36664

Now multiplying the highest exponent prime factors to calculate the LCM of 36654 and 36664.

LCM(36654,36664) = 2³ × 3¹ × 41¹ × 149¹ × 4583¹
LCM(36654,36664) = 671941128