GCF and LCM Calculator Logo

What is the Least Common Multiple of 18687 and 18699?

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 18687 and 18699 is 116476071.

LCM(18687,18699) = 116476071

LCM Calculator and
and

Least Common Multiple of 18687 and 18699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18687 and 18699, than apply into the LCM equation.

GCF(18687,18699) = 3
LCM(18687,18699) = ( 18687 × 18699) / 3
LCM(18687,18699) = 349428213 / 3
LCM(18687,18699) = 116476071

Least Common Multiple (LCM) of 18687 and 18699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18687 and 18699. First we will calculate the prime factors of 18687 and 18699.

Prime Factorization of 18687

Prime factors of 18687 are 3, 6229. Prime factorization of 18687 in exponential form is:

18687 = 31 × 62291

Prime Factorization of 18699

Prime factors of 18699 are 3, 23, 271. Prime factorization of 18699 in exponential form is:

18699 = 31 × 231 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 18687 and 18699.

LCM(18687,18699) = 31 × 62291 × 231 × 2711
LCM(18687,18699) = 116476071