GCF and LCM Calculator Logo

What is the Least Common Multiple of 22180 and 22189?

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 (LCM) of 22180 and 22189 is 492152020.

LCM(22180,22189) = 492152020

LCM Calculator and
and

Least Common Multiple of 22180 and 22189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22180 and 22189, than apply into the LCM equation.

GCF(22180,22189) = 1
LCM(22180,22189) = ( 22180 × 22189) / 1
LCM(22180,22189) = 492152020 / 1
LCM(22180,22189) = 492152020

Least Common Multiple (LCM) of 22180 and 22189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22180 and 22189. First we will calculate the prime factors of 22180 and 22189.

Prime Factorization of 22180

Prime factors of 22180 are 2, 5, 1109. Prime factorization of 22180 in exponential form is:

22180 = 22 × 51 × 11091

Prime Factorization of 22189

Prime factors of 22189 are 22189. Prime factorization of 22189 in exponential form is:

22189 = 221891

Now multiplying the highest exponent prime factors to calculate the LCM of 22180 and 22189.

LCM(22180,22189) = 22 × 51 × 11091 × 221891
LCM(22180,22189) = 492152020