GCF and LCM Calculator Logo

What is the Least Common Multiple of 8301 and 8314?

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 8301 and 8314 is 69014514.

LCM(8301,8314) = 69014514

LCM Calculator and
and

Least Common Multiple of 8301 and 8314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8301 and 8314, than apply into the LCM equation.

GCF(8301,8314) = 1
LCM(8301,8314) = ( 8301 × 8314) / 1
LCM(8301,8314) = 69014514 / 1
LCM(8301,8314) = 69014514

Least Common Multiple (LCM) of 8301 and 8314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8301 and 8314. First we will calculate the prime factors of 8301 and 8314.

Prime Factorization of 8301

Prime factors of 8301 are 3, 2767. Prime factorization of 8301 in exponential form is:

8301 = 31 × 27671

Prime Factorization of 8314

Prime factors of 8314 are 2, 4157. Prime factorization of 8314 in exponential form is:

8314 = 21 × 41571

Now multiplying the highest exponent prime factors to calculate the LCM of 8301 and 8314.

LCM(8301,8314) = 31 × 27671 × 21 × 41571
LCM(8301,8314) = 69014514