GCF and LCM Calculator Logo

What is the Least Common Multiple of 8377 and 8391?

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 8377 and 8391 is 70291407.

LCM(8377,8391) = 70291407

LCM Calculator and
and

Least Common Multiple of 8377 and 8391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8377 and 8391, than apply into the LCM equation.

GCF(8377,8391) = 1
LCM(8377,8391) = ( 8377 × 8391) / 1
LCM(8377,8391) = 70291407 / 1
LCM(8377,8391) = 70291407

Least Common Multiple (LCM) of 8377 and 8391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8377 and 8391. First we will calculate the prime factors of 8377 and 8391.

Prime Factorization of 8377

Prime factors of 8377 are 8377. Prime factorization of 8377 in exponential form is:

8377 = 83771

Prime Factorization of 8391

Prime factors of 8391 are 3, 2797. Prime factorization of 8391 in exponential form is:

8391 = 31 × 27971

Now multiplying the highest exponent prime factors to calculate the LCM of 8377 and 8391.

LCM(8377,8391) = 83771 × 31 × 27971
LCM(8377,8391) = 70291407