What is the Least Common Multiple of 40344 and 40359?

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 40344 and 40359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40344 and 40359, than apply into the LCM equation.

GCF(40344,40359) = 3
LCM(40344,40359) = ( 40344 × 40359) / 3
LCM(40344,40359) = 1628243496 / 3
LCM(40344,40359) = 542747832

Least Common Multiple (LCM) of 40344 and 40359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40344 and 40359. First we will calculate the prime factors of 40344 and 40359.

Prime Factorization of 40344

Prime Factorization of 40359

Now multiplying the highest exponent prime factors to calculate the LCM of 40344 and 40359.

LCM(40344,40359) = 2³ × 3¹ × 41² × 11¹ × 1223¹
LCM(40344,40359) = 542747832