What is the Least Common Multiple of 22164 and 22180?

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 22164 and 22180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22164 and 22180, than apply into the LCM equation.

GCF(22164,22180) = 4
LCM(22164,22180) = ( 22164 × 22180) / 4
LCM(22164,22180) = 491597520 / 4
LCM(22164,22180) = 122899380

Least Common Multiple (LCM) of 22164 and 22180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22164 and 22180. First we will calculate the prime factors of 22164 and 22180.

Prime Factorization of 22164

Prime Factorization of 22180

Now multiplying the highest exponent prime factors to calculate the LCM of 22164 and 22180.

LCM(22164,22180) = 2² × 3¹ × 1847¹ × 5¹ × 1109¹
LCM(22164,22180) = 122899380