What is the Least Common Multiple of 15156 and 15175?

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 15156 and 15175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15156 and 15175, than apply into the LCM equation.

GCF(15156,15175) = 1
LCM(15156,15175) = ( 15156 × 15175) / 1
LCM(15156,15175) = 229992300 / 1
LCM(15156,15175) = 229992300

Least Common Multiple (LCM) of 15156 and 15175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15156 and 15175. First we will calculate the prime factors of 15156 and 15175.

Prime Factorization of 15156

Prime Factorization of 15175

Now multiplying the highest exponent prime factors to calculate the LCM of 15156 and 15175.

LCM(15156,15175) = 2² × 3² × 421¹ × 5² × 607¹
LCM(15156,15175) = 229992300