What is the Least Common Multiple of 31152 and 31158?

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 31152 and 31158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31152 and 31158, than apply into the LCM equation.

GCF(31152,31158) = 6
LCM(31152,31158) = ( 31152 × 31158) / 6
LCM(31152,31158) = 970634016 / 6
LCM(31152,31158) = 161772336

Least Common Multiple (LCM) of 31152 and 31158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31152 and 31158. First we will calculate the prime factors of 31152 and 31158.

Prime Factorization of 31152

Prime Factorization of 31158

Now multiplying the highest exponent prime factors to calculate the LCM of 31152 and 31158.

LCM(31152,31158) = 2⁴ × 3³ × 11¹ × 59¹ × 577¹
LCM(31152,31158) = 161772336