GCF and LCM Calculator Logo

What is the Least Common Multiple of 23164 and 23170?

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 23164 and 23170 is 268354940.

LCM(23164,23170) = 268354940

LCM Calculator and
and

Least Common Multiple of 23164 and 23170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23164 and 23170, than apply into the LCM equation.

GCF(23164,23170) = 2
LCM(23164,23170) = ( 23164 × 23170) / 2
LCM(23164,23170) = 536709880 / 2
LCM(23164,23170) = 268354940

Least Common Multiple (LCM) of 23164 and 23170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23164 and 23170. First we will calculate the prime factors of 23164 and 23170.

Prime Factorization of 23164

Prime factors of 23164 are 2, 5791. Prime factorization of 23164 in exponential form is:

23164 = 22 × 57911

Prime Factorization of 23170

Prime factors of 23170 are 2, 5, 7, 331. Prime factorization of 23170 in exponential form is:

23170 = 21 × 51 × 71 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 23164 and 23170.

LCM(23164,23170) = 22 × 57911 × 51 × 71 × 3311
LCM(23164,23170) = 268354940