What is the Least Common Multiple of 40056 and 40074?

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 40056 and 40074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40056 and 40074, than apply into the LCM equation.

GCF(40056,40074) = 6
LCM(40056,40074) = ( 40056 × 40074) / 6
LCM(40056,40074) = 1605204144 / 6
LCM(40056,40074) = 267534024

Least Common Multiple (LCM) of 40056 and 40074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40056 and 40074. First we will calculate the prime factors of 40056 and 40074.

Prime Factorization of 40056

Prime Factorization of 40074

Now multiplying the highest exponent prime factors to calculate the LCM of 40056 and 40074.

LCM(40056,40074) = 2³ × 3¹ × 1669¹ × 6679¹
LCM(40056,40074) = 267534024