GCF and LCM Calculator Logo

What is the Least Common Multiple of 13400 and 13415?

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 13400 and 13415 is 35952200.

LCM(13400,13415) = 35952200

LCM Calculator and
and

Least Common Multiple of 13400 and 13415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13400 and 13415, than apply into the LCM equation.

GCF(13400,13415) = 5
LCM(13400,13415) = ( 13400 × 13415) / 5
LCM(13400,13415) = 179761000 / 5
LCM(13400,13415) = 35952200

Least Common Multiple (LCM) of 13400 and 13415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13400 and 13415. First we will calculate the prime factors of 13400 and 13415.

Prime Factorization of 13400

Prime factors of 13400 are 2, 5, 67. Prime factorization of 13400 in exponential form is:

13400 = 23 × 52 × 671

Prime Factorization of 13415

Prime factors of 13415 are 5, 2683. Prime factorization of 13415 in exponential form is:

13415 = 51 × 26831

Now multiplying the highest exponent prime factors to calculate the LCM of 13400 and 13415.

LCM(13400,13415) = 23 × 52 × 671 × 26831
LCM(13400,13415) = 35952200