What is the Least Common Multiple of 15114 and 15126?

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 15126 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 15126, than apply into the LCM equation.

GCF(15114,15126) = 6
LCM(15114,15126) = ( 15114 × 15126) / 6
LCM(15114,15126) = 228614364 / 6
LCM(15114,15126) = 38102394

Least Common Multiple (LCM) of 15114 and 15126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15114 and 15126. First we will calculate the prime factors of 15114 and 15126.

Prime Factorization of 15114

Prime Factorization of 15126

Now multiplying the highest exponent prime factors to calculate the LCM of 15114 and 15126.

LCM(15114,15126) = 2¹ × 3¹ × 11¹ × 229¹ × 2521¹
LCM(15114,15126) = 38102394