What is the Least Common Multiple of 15468 and 15484?

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 15468 and 15484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15468 and 15484, than apply into the LCM equation.

GCF(15468,15484) = 4
LCM(15468,15484) = ( 15468 × 15484) / 4
LCM(15468,15484) = 239506512 / 4
LCM(15468,15484) = 59876628

Least Common Multiple (LCM) of 15468 and 15484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15468 and 15484. First we will calculate the prime factors of 15468 and 15484.

Prime Factorization of 15468

Prime Factorization of 15484

Now multiplying the highest exponent prime factors to calculate the LCM of 15468 and 15484.

LCM(15468,15484) = 2² × 3¹ × 1289¹ × 7² × 79¹
LCM(15468,15484) = 59876628