What is the Least Common Multiple of 22140 and 22146?

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 22140 and 22146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22140 and 22146, than apply into the LCM equation.

GCF(22140,22146) = 6
LCM(22140,22146) = ( 22140 × 22146) / 6
LCM(22140,22146) = 490312440 / 6
LCM(22140,22146) = 81718740

Least Common Multiple (LCM) of 22140 and 22146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22140 and 22146. First we will calculate the prime factors of 22140 and 22146.

Prime Factorization of 22140

Prime Factorization of 22146

Now multiplying the highest exponent prime factors to calculate the LCM of 22140 and 22146.

LCM(22140,22146) = 2² × 3³ × 5¹ × 41¹ × 3691¹
LCM(22140,22146) = 81718740