What is the Least Common Multiple of 15240 and 15249?

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 15249 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 15249, than apply into the LCM equation.

GCF(15240,15249) = 3
LCM(15240,15249) = ( 15240 × 15249) / 3
LCM(15240,15249) = 232394760 / 3
LCM(15240,15249) = 77464920

Least Common Multiple (LCM) of 15240 and 15249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15240 and 15249. First we will calculate the prime factors of 15240 and 15249.

Prime Factorization of 15240

Prime Factorization of 15249

Now multiplying the highest exponent prime factors to calculate the LCM of 15240 and 15249.

LCM(15240,15249) = 2³ × 3¹ × 5¹ × 127¹ × 13¹ × 17¹ × 23¹
LCM(15240,15249) = 77464920