What is the Least Common Multiple of 31119 and 31128?

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 31119 and 31128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31119 and 31128, than apply into the LCM equation.

GCF(31119,31128) = 3
LCM(31119,31128) = ( 31119 × 31128) / 3
LCM(31119,31128) = 968672232 / 3
LCM(31119,31128) = 322890744

Least Common Multiple (LCM) of 31119 and 31128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31119 and 31128. First we will calculate the prime factors of 31119 and 31128.

Prime Factorization of 31119

Prime Factorization of 31128

Now multiplying the highest exponent prime factors to calculate the LCM of 31119 and 31128.

LCM(31119,31128) = 3¹ × 11¹ × 23¹ × 41¹ × 2³ × 1297¹
LCM(31119,31128) = 322890744