What is the Least Common Multiple of 40212 and 40231?

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 40212 and 40231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40212 and 40231, than apply into the LCM equation.

GCF(40212,40231) = 1
LCM(40212,40231) = ( 40212 × 40231) / 1
LCM(40212,40231) = 1617768972 / 1
LCM(40212,40231) = 1617768972

Least Common Multiple (LCM) of 40212 and 40231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40212 and 40231. First we will calculate the prime factors of 40212 and 40231.

Prime Factorization of 40212

Prime Factorization of 40231

Now multiplying the highest exponent prime factors to calculate the LCM of 40212 and 40231.

LCM(40212,40231) = 2² × 3² × 1117¹ × 40231¹
LCM(40212,40231) = 1617768972