What is the Least Common Multiple of 31035 and 31044?

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 31035 and 31044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31035 and 31044, than apply into the LCM equation.

GCF(31035,31044) = 3
LCM(31035,31044) = ( 31035 × 31044) / 3
LCM(31035,31044) = 963450540 / 3
LCM(31035,31044) = 321150180

Least Common Multiple (LCM) of 31035 and 31044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31035 and 31044. First we will calculate the prime factors of 31035 and 31044.

Prime Factorization of 31035

Prime Factorization of 31044

Now multiplying the highest exponent prime factors to calculate the LCM of 31035 and 31044.

LCM(31035,31044) = 3¹ × 5¹ × 2069¹ × 2² × 13¹ × 199¹
LCM(31035,31044) = 321150180