GCF and LCM Calculator Logo

What is the Least Common Multiple of 13723 and 13736?

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 13723 and 13736 is 188499128.

LCM(13723,13736) = 188499128

LCM Calculator and
and

Least Common Multiple of 13723 and 13736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13723 and 13736, than apply into the LCM equation.

GCF(13723,13736) = 1
LCM(13723,13736) = ( 13723 × 13736) / 1
LCM(13723,13736) = 188499128 / 1
LCM(13723,13736) = 188499128

Least Common Multiple (LCM) of 13723 and 13736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13723 and 13736. First we will calculate the prime factors of 13723 and 13736.

Prime Factorization of 13723

Prime factors of 13723 are 13723. Prime factorization of 13723 in exponential form is:

13723 = 137231

Prime Factorization of 13736

Prime factors of 13736 are 2, 17, 101. Prime factorization of 13736 in exponential form is:

13736 = 23 × 171 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 13723 and 13736.

LCM(13723,13736) = 137231 × 23 × 171 × 1011
LCM(13723,13736) = 188499128