GCF and LCM Calculator Logo

What is the Least Common Multiple of 22611 and 22626?

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 22611 and 22626 is 170532162.

LCM(22611,22626) = 170532162

LCM Calculator and
and

Least Common Multiple of 22611 and 22626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22611 and 22626, than apply into the LCM equation.

GCF(22611,22626) = 3
LCM(22611,22626) = ( 22611 × 22626) / 3
LCM(22611,22626) = 511596486 / 3
LCM(22611,22626) = 170532162

Least Common Multiple (LCM) of 22611 and 22626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22611 and 22626. First we will calculate the prime factors of 22611 and 22626.

Prime Factorization of 22611

Prime factors of 22611 are 3, 7537. Prime factorization of 22611 in exponential form is:

22611 = 31 × 75371

Prime Factorization of 22626

Prime factors of 22626 are 2, 3, 419. Prime factorization of 22626 in exponential form is:

22626 = 21 × 33 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 22611 and 22626.

LCM(22611,22626) = 33 × 75371 × 21 × 4191
LCM(22611,22626) = 170532162