What is the Least Common Multiple of 40020 and 40032?

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 40020 and 40032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40020 and 40032, than apply into the LCM equation.

GCF(40020,40032) = 12
LCM(40020,40032) = ( 40020 × 40032) / 12
LCM(40020,40032) = 1602080640 / 12
LCM(40020,40032) = 133506720

Least Common Multiple (LCM) of 40020 and 40032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40020 and 40032. First we will calculate the prime factors of 40020 and 40032.

Prime Factorization of 40020

Prime Factorization of 40032

Now multiplying the highest exponent prime factors to calculate the LCM of 40020 and 40032.

LCM(40020,40032) = 2⁵ × 3² × 5¹ × 23¹ × 29¹ × 139¹
LCM(40020,40032) = 133506720