GCF and LCM Calculator Logo

What is the Least Common Multiple of 13693 and 13699?

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 13693 and 13699 is 187580407.

LCM(13693,13699) = 187580407

LCM Calculator and
and

Least Common Multiple of 13693 and 13699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13693 and 13699, than apply into the LCM equation.

GCF(13693,13699) = 1
LCM(13693,13699) = ( 13693 × 13699) / 1
LCM(13693,13699) = 187580407 / 1
LCM(13693,13699) = 187580407

Least Common Multiple (LCM) of 13693 and 13699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13693 and 13699. First we will calculate the prime factors of 13693 and 13699.

Prime Factorization of 13693

Prime factors of 13693 are 13693. Prime factorization of 13693 in exponential form is:

13693 = 136931

Prime Factorization of 13699

Prime factors of 13699 are 7, 19, 103. Prime factorization of 13699 in exponential form is:

13699 = 71 × 191 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 13693 and 13699.

LCM(13693,13699) = 136931 × 71 × 191 × 1031
LCM(13693,13699) = 187580407