GCF and LCM Calculator Logo

What is the Least Common Multiple of 22156 and 22173?

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 22156 and 22173 is 491264988.

LCM(22156,22173) = 491264988

LCM Calculator and
and

Least Common Multiple of 22156 and 22173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22156 and 22173, than apply into the LCM equation.

GCF(22156,22173) = 1
LCM(22156,22173) = ( 22156 × 22173) / 1
LCM(22156,22173) = 491264988 / 1
LCM(22156,22173) = 491264988

Least Common Multiple (LCM) of 22156 and 22173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22156 and 22173. First we will calculate the prime factors of 22156 and 22173.

Prime Factorization of 22156

Prime factors of 22156 are 2, 29, 191. Prime factorization of 22156 in exponential form is:

22156 = 22 × 291 × 1911

Prime Factorization of 22173

Prime factors of 22173 are 3, 19, 389. Prime factorization of 22173 in exponential form is:

22173 = 31 × 191 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 22156 and 22173.

LCM(22156,22173) = 22 × 291 × 1911 × 31 × 191 × 3891
LCM(22156,22173) = 491264988