What is the Least Common Multiple of 15240 and 15258?

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 15240 and 15258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15240 and 15258, than apply into the LCM equation.

GCF(15240,15258) = 6
LCM(15240,15258) = ( 15240 × 15258) / 6
LCM(15240,15258) = 232531920 / 6
LCM(15240,15258) = 38755320

Least Common Multiple (LCM) of 15240 and 15258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15240 and 15258. First we will calculate the prime factors of 15240 and 15258.

Prime Factorization of 15240

Prime Factorization of 15258

Now multiplying the highest exponent prime factors to calculate the LCM of 15240 and 15258.

LCM(15240,15258) = 2³ × 3¹ × 5¹ × 127¹ × 2543¹
LCM(15240,15258) = 38755320