GCF and LCM Calculator Logo

What is the Least Common Multiple of 13437 and 13446?

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 13437 and 13446 is 20074878.

LCM(13437,13446) = 20074878

LCM Calculator and
and

Least Common Multiple of 13437 and 13446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13437 and 13446, than apply into the LCM equation.

GCF(13437,13446) = 9
LCM(13437,13446) = ( 13437 × 13446) / 9
LCM(13437,13446) = 180673902 / 9
LCM(13437,13446) = 20074878

Least Common Multiple (LCM) of 13437 and 13446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13437 and 13446. First we will calculate the prime factors of 13437 and 13446.

Prime Factorization of 13437

Prime factors of 13437 are 3, 1493. Prime factorization of 13437 in exponential form is:

13437 = 32 × 14931

Prime Factorization of 13446

Prime factors of 13446 are 2, 3, 83. Prime factorization of 13446 in exponential form is:

13446 = 21 × 34 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 13437 and 13446.

LCM(13437,13446) = 34 × 14931 × 21 × 831
LCM(13437,13446) = 20074878