What is the Least Common Multiple of 15114 and 15125?

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 15114 and 15125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15114 and 15125, than apply into the LCM equation.

GCF(15114,15125) = 11
LCM(15114,15125) = ( 15114 × 15125) / 11
LCM(15114,15125) = 228599250 / 11
LCM(15114,15125) = 20781750

Least Common Multiple (LCM) of 15114 and 15125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15114 and 15125. First we will calculate the prime factors of 15114 and 15125.

Prime Factorization of 15114

Prime Factorization of 15125

Now multiplying the highest exponent prime factors to calculate the LCM of 15114 and 15125.

LCM(15114,15125) = 2¹ × 3¹ × 11² × 229¹ × 5³
LCM(15114,15125) = 20781750