GCF and LCM Calculator Logo

What is the Least Common Multiple of 13377 and 13383?

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 13377 and 13383 is 59674797.

LCM(13377,13383) = 59674797

LCM Calculator and
and

Least Common Multiple of 13377 and 13383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13377 and 13383, than apply into the LCM equation.

GCF(13377,13383) = 3
LCM(13377,13383) = ( 13377 × 13383) / 3
LCM(13377,13383) = 179024391 / 3
LCM(13377,13383) = 59674797

Least Common Multiple (LCM) of 13377 and 13383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13377 and 13383. First we will calculate the prime factors of 13377 and 13383.

Prime Factorization of 13377

Prime factors of 13377 are 3, 7, 13. Prime factorization of 13377 in exponential form is:

13377 = 31 × 73 × 131

Prime Factorization of 13383

Prime factors of 13383 are 3, 1487. Prime factorization of 13383 in exponential form is:

13383 = 32 × 14871

Now multiplying the highest exponent prime factors to calculate the LCM of 13377 and 13383.

LCM(13377,13383) = 32 × 73 × 131 × 14871
LCM(13377,13383) = 59674797