What is the Least Common Multiple of 15057 and 15069?

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 15057 and 15069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15057 and 15069, than apply into the LCM equation.

GCF(15057,15069) = 3
LCM(15057,15069) = ( 15057 × 15069) / 3
LCM(15057,15069) = 226893933 / 3
LCM(15057,15069) = 75631311

Least Common Multiple (LCM) of 15057 and 15069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15057 and 15069. First we will calculate the prime factors of 15057 and 15069.

Prime Factorization of 15057

Prime Factorization of 15069

Now multiplying the highest exponent prime factors to calculate the LCM of 15057 and 15069.

LCM(15057,15069) = 3² × 7¹ × 239¹ × 5023¹
LCM(15057,15069) = 75631311