GCF and LCM Calculator Logo

What is the Least Common Multiple of 13636 and 13650?

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 13636 and 13650 is 13295100.

LCM(13636,13650) = 13295100

LCM Calculator and
and

Least Common Multiple of 13636 and 13650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13636 and 13650, than apply into the LCM equation.

GCF(13636,13650) = 14
LCM(13636,13650) = ( 13636 × 13650) / 14
LCM(13636,13650) = 186131400 / 14
LCM(13636,13650) = 13295100

Least Common Multiple (LCM) of 13636 and 13650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13636 and 13650. First we will calculate the prime factors of 13636 and 13650.

Prime Factorization of 13636

Prime factors of 13636 are 2, 7, 487. Prime factorization of 13636 in exponential form is:

13636 = 22 × 71 × 4871

Prime Factorization of 13650

Prime factors of 13650 are 2, 3, 5, 7, 13. Prime factorization of 13650 in exponential form is:

13650 = 21 × 31 × 52 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 13636 and 13650.

LCM(13636,13650) = 22 × 71 × 4871 × 31 × 52 × 131
LCM(13636,13650) = 13295100