What is the Least Common Multiple of 40218 and 40230?

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 40218 and 40230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40218 and 40230, than apply into the LCM equation.

GCF(40218,40230) = 6
LCM(40218,40230) = ( 40218 × 40230) / 6
LCM(40218,40230) = 1617970140 / 6
LCM(40218,40230) = 269661690

Least Common Multiple (LCM) of 40218 and 40230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40218 and 40230. First we will calculate the prime factors of 40218 and 40230.

Prime Factorization of 40218

Prime Factorization of 40230

Now multiplying the highest exponent prime factors to calculate the LCM of 40218 and 40230.

LCM(40218,40230) = 2¹ × 3³ × 6703¹ × 5¹ × 149¹
LCM(40218,40230) = 269661690