What is the Least Common Multiple of 31206 and 31224?

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 31206 and 31224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31206 and 31224, than apply into the LCM equation.

GCF(31206,31224) = 6
LCM(31206,31224) = ( 31206 × 31224) / 6
LCM(31206,31224) = 974376144 / 6
LCM(31206,31224) = 162396024

Least Common Multiple (LCM) of 31206 and 31224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31206 and 31224. First we will calculate the prime factors of 31206 and 31224.

Prime Factorization of 31206

Prime Factorization of 31224

Now multiplying the highest exponent prime factors to calculate the LCM of 31206 and 31224.

LCM(31206,31224) = 2³ × 3¹ × 7¹ × 743¹ × 1301¹
LCM(31206,31224) = 162396024