What is the Least Common Multiple of 40074 and 40089?

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 40074 and 40089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40074 and 40089, than apply into the LCM equation.

GCF(40074,40089) = 3
LCM(40074,40089) = ( 40074 × 40089) / 3
LCM(40074,40089) = 1606526586 / 3
LCM(40074,40089) = 535508862

Least Common Multiple (LCM) of 40074 and 40089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40074 and 40089. First we will calculate the prime factors of 40074 and 40089.

Prime Factorization of 40074

Prime Factorization of 40089

Now multiplying the highest exponent prime factors to calculate the LCM of 40074 and 40089.

LCM(40074,40089) = 2¹ × 3¹ × 6679¹ × 7¹ × 23¹ × 83¹
LCM(40074,40089) = 535508862