What is the Least Common Multiple of 40032 and 40045?

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 40032 and 40045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40032 and 40045, than apply into the LCM equation.

GCF(40032,40045) = 1
LCM(40032,40045) = ( 40032 × 40045) / 1
LCM(40032,40045) = 1603081440 / 1
LCM(40032,40045) = 1603081440

Least Common Multiple (LCM) of 40032 and 40045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40032 and 40045. First we will calculate the prime factors of 40032 and 40045.

Prime Factorization of 40032

Prime Factorization of 40045

Now multiplying the highest exponent prime factors to calculate the LCM of 40032 and 40045.

LCM(40032,40045) = 2⁵ × 3² × 139¹ × 5¹ × 8009¹
LCM(40032,40045) = 1603081440