GCF and LCM Calculator Logo

What is the Least Common Multiple of 13600 and 13607?

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 13600 and 13607 is 185055200.

LCM(13600,13607) = 185055200

LCM Calculator and
and

Least Common Multiple of 13600 and 13607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13600 and 13607, than apply into the LCM equation.

GCF(13600,13607) = 1
LCM(13600,13607) = ( 13600 × 13607) / 1
LCM(13600,13607) = 185055200 / 1
LCM(13600,13607) = 185055200

Least Common Multiple (LCM) of 13600 and 13607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13600 and 13607. First we will calculate the prime factors of 13600 and 13607.

Prime Factorization of 13600

Prime factors of 13600 are 2, 5, 17. Prime factorization of 13600 in exponential form is:

13600 = 25 × 52 × 171

Prime Factorization of 13607

Prime factors of 13607 are 11, 1237. Prime factorization of 13607 in exponential form is:

13607 = 111 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 13600 and 13607.

LCM(13600,13607) = 25 × 52 × 171 × 111 × 12371
LCM(13600,13607) = 185055200