What is the Least Common Multiple of 40212 and 40228?

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 40228 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 40228, than apply into the LCM equation.

GCF(40212,40228) = 4
LCM(40212,40228) = ( 40212 × 40228) / 4
LCM(40212,40228) = 1617648336 / 4
LCM(40212,40228) = 404412084

Least Common Multiple (LCM) of 40212 and 40228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40212 and 40228. First we will calculate the prime factors of 40212 and 40228.

Prime Factorization of 40212

Prime Factorization of 40228

Now multiplying the highest exponent prime factors to calculate the LCM of 40212 and 40228.

LCM(40212,40228) = 2² × 3² × 1117¹ × 89¹ × 113¹
LCM(40212,40228) = 404412084