What is the Least Common Multiple of 31254 and 31267?

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 31254 and 31267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31254 and 31267, than apply into the LCM equation.

GCF(31254,31267) = 1
LCM(31254,31267) = ( 31254 × 31267) / 1
LCM(31254,31267) = 977218818 / 1
LCM(31254,31267) = 977218818

Least Common Multiple (LCM) of 31254 and 31267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31254 and 31267. First we will calculate the prime factors of 31254 and 31267.

Prime Factorization of 31254

Prime Factorization of 31267

Now multiplying the highest exponent prime factors to calculate the LCM of 31254 and 31267.

LCM(31254,31267) = 2¹ × 3¹ × 5209¹ × 31267¹
LCM(31254,31267) = 977218818