What is the Least Common Multiple of 40344 and 40356?

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 40356 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 40356, than apply into the LCM equation.

GCF(40344,40356) = 12
LCM(40344,40356) = ( 40344 × 40356) / 12
LCM(40344,40356) = 1628122464 / 12
LCM(40344,40356) = 135676872

Least Common Multiple (LCM) of 40344 and 40356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40344 and 40356. First we will calculate the prime factors of 40344 and 40356.

Prime Factorization of 40344

Prime Factorization of 40356

Now multiplying the highest exponent prime factors to calculate the LCM of 40344 and 40356.

LCM(40344,40356) = 2³ × 3² × 41² × 19¹ × 59¹
LCM(40344,40356) = 135676872