GCF and LCM Calculator Logo

What is the Least Common Multiple of 13446 and 13464?

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 13446 and 13464 is 10057608.

LCM(13446,13464) = 10057608

LCM Calculator and
and

Least Common Multiple of 13446 and 13464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13446 and 13464, than apply into the LCM equation.

GCF(13446,13464) = 18
LCM(13446,13464) = ( 13446 × 13464) / 18
LCM(13446,13464) = 181036944 / 18
LCM(13446,13464) = 10057608

Least Common Multiple (LCM) of 13446 and 13464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13446 and 13464. First we will calculate the prime factors of 13446 and 13464.

Prime Factorization of 13446

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

13446 = 21 × 34 × 831

Prime Factorization of 13464

Prime factors of 13464 are 2, 3, 11, 17. Prime factorization of 13464 in exponential form is:

13464 = 23 × 32 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 13446 and 13464.

LCM(13446,13464) = 23 × 34 × 831 × 111 × 171
LCM(13446,13464) = 10057608