What is the Least Common Multiple of 31260 and 31272?

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 31260 and 31272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31260 and 31272, than apply into the LCM equation.

GCF(31260,31272) = 12
LCM(31260,31272) = ( 31260 × 31272) / 12
LCM(31260,31272) = 977562720 / 12
LCM(31260,31272) = 81463560

Least Common Multiple (LCM) of 31260 and 31272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31260 and 31272. First we will calculate the prime factors of 31260 and 31272.

Prime Factorization of 31260

Prime Factorization of 31272

Now multiplying the highest exponent prime factors to calculate the LCM of 31260 and 31272.

LCM(31260,31272) = 2³ × 3¹ × 5¹ × 521¹ × 1303¹
LCM(31260,31272) = 81463560