What is the Least Common Multiple of 40416 and 40422?

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 40416 and 40422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40416 and 40422, than apply into the LCM equation.

GCF(40416,40422) = 6
LCM(40416,40422) = ( 40416 × 40422) / 6
LCM(40416,40422) = 1633695552 / 6
LCM(40416,40422) = 272282592

Least Common Multiple (LCM) of 40416 and 40422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40416 and 40422. First we will calculate the prime factors of 40416 and 40422.

Prime Factorization of 40416

Prime Factorization of 40422

Now multiplying the highest exponent prime factors to calculate the LCM of 40416 and 40422.

LCM(40416,40422) = 2⁵ × 3¹ × 421¹ × 6737¹
LCM(40416,40422) = 272282592