What is the Least Common Multiple of 15090 and 15100?

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 15090 and 15100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15090 and 15100, than apply into the LCM equation.

GCF(15090,15100) = 10
LCM(15090,15100) = ( 15090 × 15100) / 10
LCM(15090,15100) = 227859000 / 10
LCM(15090,15100) = 22785900

Least Common Multiple (LCM) of 15090 and 15100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15090 and 15100. First we will calculate the prime factors of 15090 and 15100.

Prime Factorization of 15090

Prime Factorization of 15100

Now multiplying the highest exponent prime factors to calculate the LCM of 15090 and 15100.

LCM(15090,15100) = 2² × 3¹ × 5² × 503¹ × 151¹
LCM(15090,15100) = 22785900