What is the Least Common Multiple of 31128 and 31148?

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 31128 and 31148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31128 and 31148, than apply into the LCM equation.

GCF(31128,31148) = 4
LCM(31128,31148) = ( 31128 × 31148) / 4
LCM(31128,31148) = 969574944 / 4
LCM(31128,31148) = 242393736

Least Common Multiple (LCM) of 31128 and 31148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31128 and 31148. First we will calculate the prime factors of 31128 and 31148.

Prime Factorization of 31128

Prime Factorization of 31148

Now multiplying the highest exponent prime factors to calculate the LCM of 31128 and 31148.

LCM(31128,31148) = 2³ × 3¹ × 1297¹ × 13¹ × 599¹
LCM(31128,31148) = 242393736