What is the Least Common Multiple of 15100 and 15105?

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 15105 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 15105, than apply into the LCM equation.

GCF(15100,15105) = 5
LCM(15100,15105) = ( 15100 × 15105) / 5
LCM(15100,15105) = 228085500 / 5
LCM(15100,15105) = 45617100

Least Common Multiple (LCM) of 15100 and 15105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15100 and 15105. First we will calculate the prime factors of 15100 and 15105.

Prime Factorization of 15100

Prime Factorization of 15105

Now multiplying the highest exponent prime factors to calculate the LCM of 15100 and 15105.

LCM(15100,15105) = 2² × 5² × 151¹ × 3¹ × 19¹ × 53¹
LCM(15100,15105) = 45617100