What is the Least Common Multiple of 15009 and 15021?

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 15009 and 15021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15009 and 15021, than apply into the LCM equation.

GCF(15009,15021) = 3
LCM(15009,15021) = ( 15009 × 15021) / 3
LCM(15009,15021) = 225450189 / 3
LCM(15009,15021) = 75150063

Least Common Multiple (LCM) of 15009 and 15021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15009 and 15021. First we will calculate the prime factors of 15009 and 15021.

Prime Factorization of 15009

Prime Factorization of 15021

Now multiplying the highest exponent prime factors to calculate the LCM of 15009 and 15021.

LCM(15009,15021) = 3² × 5003¹ × 1669¹
LCM(15009,15021) = 75150063