What is the Least Common Multiple of 31236 and 31251?

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 31236 and 31251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31236 and 31251, than apply into the LCM equation.

GCF(31236,31251) = 3
LCM(31236,31251) = ( 31236 × 31251) / 3
LCM(31236,31251) = 976156236 / 3
LCM(31236,31251) = 325385412

Least Common Multiple (LCM) of 31236 and 31251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31236 and 31251. First we will calculate the prime factors of 31236 and 31251.

Prime Factorization of 31236

Prime Factorization of 31251

Now multiplying the highest exponent prime factors to calculate the LCM of 31236 and 31251.

LCM(31236,31251) = 2² × 3¹ × 19¹ × 137¹ × 11¹ × 947¹
LCM(31236,31251) = 325385412