What is the Least Common Multiple of 31464 and 31479?

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 31464 and 31479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31464 and 31479, than apply into the LCM equation.

GCF(31464,31479) = 3
LCM(31464,31479) = ( 31464 × 31479) / 3
LCM(31464,31479) = 990455256 / 3
LCM(31464,31479) = 330151752

Least Common Multiple (LCM) of 31464 and 31479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31464 and 31479. First we will calculate the prime factors of 31464 and 31479.

Prime Factorization of 31464

Prime Factorization of 31479

Now multiplying the highest exponent prime factors to calculate the LCM of 31464 and 31479.

LCM(31464,31479) = 2³ × 3² × 19¹ × 23¹ × 7¹ × 1499¹
LCM(31464,31479) = 330151752