What is the Least Common Multiple of 22170 and 22188?

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 22170 and 22188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22170 and 22188, than apply into the LCM equation.

GCF(22170,22188) = 6
LCM(22170,22188) = ( 22170 × 22188) / 6
LCM(22170,22188) = 491907960 / 6
LCM(22170,22188) = 81984660

Least Common Multiple (LCM) of 22170 and 22188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22170 and 22188. First we will calculate the prime factors of 22170 and 22188.

Prime Factorization of 22170

Prime Factorization of 22188

Now multiplying the highest exponent prime factors to calculate the LCM of 22170 and 22188.

LCM(22170,22188) = 2² × 3¹ × 5¹ × 739¹ × 43²
LCM(22170,22188) = 81984660