What is the Least Common Multiple of 31128 and 31132?

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 31132 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 31132, than apply into the LCM equation.

GCF(31128,31132) = 4
LCM(31128,31132) = ( 31128 × 31132) / 4
LCM(31128,31132) = 969076896 / 4
LCM(31128,31132) = 242269224

Least Common Multiple (LCM) of 31128 and 31132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31128 and 31132. First we will calculate the prime factors of 31128 and 31132.

Prime Factorization of 31128

Prime Factorization of 31132

Now multiplying the highest exponent prime factors to calculate the LCM of 31128 and 31132.

LCM(31128,31132) = 2³ × 3¹ × 1297¹ × 43¹ × 181¹
LCM(31128,31132) = 242269224