What is the Least Common Multiple of 3138 and 3144?

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 3138 and 3144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3138 and 3144, than apply into the LCM equation.

GCF(3138,3144) = 6
LCM(3138,3144) = ( 3138 × 3144) / 6
LCM(3138,3144) = 9865872 / 6
LCM(3138,3144) = 1644312

Least Common Multiple (LCM) of 3138 and 3144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3138 and 3144. First we will calculate the prime factors of 3138 and 3144.

Prime Factorization of 3138

Prime Factorization of 3144

Now multiplying the highest exponent prime factors to calculate the LCM of 3138 and 3144.

LCM(3138,3144) = 2³ × 3¹ × 523¹ × 131¹
LCM(3138,3144) = 1644312