GCF and LCM Calculator Logo

What is the Least Common Multiple of 8477 and 8491?

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 8477 and 8491 is 10282601.

LCM(8477,8491) = 10282601

LCM Calculator and
and

Least Common Multiple of 8477 and 8491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8477 and 8491, than apply into the LCM equation.

GCF(8477,8491) = 7
LCM(8477,8491) = ( 8477 × 8491) / 7
LCM(8477,8491) = 71978207 / 7
LCM(8477,8491) = 10282601

Least Common Multiple (LCM) of 8477 and 8491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8477 and 8491. First we will calculate the prime factors of 8477 and 8491.

Prime Factorization of 8477

Prime factors of 8477 are 7, 173. Prime factorization of 8477 in exponential form is:

8477 = 72 × 1731

Prime Factorization of 8491

Prime factors of 8491 are 7, 1213. Prime factorization of 8491 in exponential form is:

8491 = 71 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 8477 and 8491.

LCM(8477,8491) = 72 × 1731 × 12131
LCM(8477,8491) = 10282601