GCF and LCM Calculator Logo

What is the Least Common Multiple of 8327 and 8341?

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 8327 and 8341 is 69455507.

LCM(8327,8341) = 69455507

LCM Calculator and
and

Least Common Multiple of 8327 and 8341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8327 and 8341, than apply into the LCM equation.

GCF(8327,8341) = 1
LCM(8327,8341) = ( 8327 × 8341) / 1
LCM(8327,8341) = 69455507 / 1
LCM(8327,8341) = 69455507

Least Common Multiple (LCM) of 8327 and 8341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8327 and 8341. First we will calculate the prime factors of 8327 and 8341.

Prime Factorization of 8327

Prime factors of 8327 are 11, 757. Prime factorization of 8327 in exponential form is:

8327 = 111 × 7571

Prime Factorization of 8341

Prime factors of 8341 are 19, 439. Prime factorization of 8341 in exponential form is:

8341 = 191 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 8327 and 8341.

LCM(8327,8341) = 111 × 7571 × 191 × 4391
LCM(8327,8341) = 69455507