What is the Least Common Multiple of 31044 and 31056?

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 31044 and 31056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31044 and 31056, than apply into the LCM equation.

GCF(31044,31056) = 12
LCM(31044,31056) = ( 31044 × 31056) / 12
LCM(31044,31056) = 964102464 / 12
LCM(31044,31056) = 80341872

Least Common Multiple (LCM) of 31044 and 31056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31044 and 31056. First we will calculate the prime factors of 31044 and 31056.

Prime Factorization of 31044

Prime Factorization of 31056

Now multiplying the highest exponent prime factors to calculate the LCM of 31044 and 31056.

LCM(31044,31056) = 2⁴ × 3¹ × 13¹ × 199¹ × 647¹
LCM(31044,31056) = 80341872