What is the Least Common Multiple of 15100 and 15104?

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 15100 and 15104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15100 and 15104, than apply into the LCM equation.

GCF(15100,15104) = 4
LCM(15100,15104) = ( 15100 × 15104) / 4
LCM(15100,15104) = 228070400 / 4
LCM(15100,15104) = 57017600

Least Common Multiple (LCM) of 15100 and 15104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15100 and 15104. First we will calculate the prime factors of 15100 and 15104.

Prime Factorization of 15100

Prime Factorization of 15104

Now multiplying the highest exponent prime factors to calculate the LCM of 15100 and 15104.

LCM(15100,15104) = 2⁸ × 5² × 151¹ × 59¹
LCM(15100,15104) = 57017600