What is the Least Common Multiple of 40200 and 40220?

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 40200 and 40220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40200 and 40220, than apply into the LCM equation.

GCF(40200,40220) = 20
LCM(40200,40220) = ( 40200 × 40220) / 20
LCM(40200,40220) = 1616844000 / 20
LCM(40200,40220) = 80842200

Least Common Multiple (LCM) of 40200 and 40220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40200 and 40220. First we will calculate the prime factors of 40200 and 40220.

Prime Factorization of 40200

Prime Factorization of 40220

Now multiplying the highest exponent prime factors to calculate the LCM of 40200 and 40220.

LCM(40200,40220) = 2³ × 3¹ × 5² × 67¹ × 2011¹
LCM(40200,40220) = 80842200