What is the Least Common Multiple of 39468 and 39484?

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 39468 and 39484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39468 and 39484, than apply into the LCM equation.

GCF(39468,39484) = 4
LCM(39468,39484) = ( 39468 × 39484) / 4
LCM(39468,39484) = 1558354512 / 4
LCM(39468,39484) = 389588628

Least Common Multiple (LCM) of 39468 and 39484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39468 and 39484. First we will calculate the prime factors of 39468 and 39484.

Prime Factorization of 39468

Prime Factorization of 39484

Now multiplying the highest exponent prime factors to calculate the LCM of 39468 and 39484.

LCM(39468,39484) = 2² × 3¹ × 11¹ × 13¹ × 23¹ × 9871¹
LCM(39468,39484) = 389588628