What is the Least Common Multiple of 40020 and 40038?

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 40038 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 40038, than apply into the LCM equation.

GCF(40020,40038) = 6
LCM(40020,40038) = ( 40020 × 40038) / 6
LCM(40020,40038) = 1602320760 / 6
LCM(40020,40038) = 267053460

Least Common Multiple (LCM) of 40020 and 40038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40020 and 40038. First we will calculate the prime factors of 40020 and 40038.

Prime Factorization of 40020

Prime Factorization of 40038

Now multiplying the highest exponent prime factors to calculate the LCM of 40020 and 40038.

LCM(40020,40038) = 2² × 3¹ × 5¹ × 23¹ × 29¹ × 6673¹
LCM(40020,40038) = 267053460