GCF and LCM Calculator Logo

What is the Least Common Multiple of 6387 and 6401?

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 6387 and 6401 is 40883187.

LCM(6387,6401) = 40883187

LCM Calculator and
and

Least Common Multiple of 6387 and 6401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6387 and 6401, than apply into the LCM equation.

GCF(6387,6401) = 1
LCM(6387,6401) = ( 6387 × 6401) / 1
LCM(6387,6401) = 40883187 / 1
LCM(6387,6401) = 40883187

Least Common Multiple (LCM) of 6387 and 6401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6387 and 6401. First we will calculate the prime factors of 6387 and 6401.

Prime Factorization of 6387

Prime factors of 6387 are 3, 2129. Prime factorization of 6387 in exponential form is:

6387 = 31 × 21291

Prime Factorization of 6401

Prime factors of 6401 are 37, 173. Prime factorization of 6401 in exponential form is:

6401 = 371 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 6387 and 6401.

LCM(6387,6401) = 31 × 21291 × 371 × 1731
LCM(6387,6401) = 40883187