GCF and LCM Calculator Logo

What is the Least Common Multiple of 8847 and 8865?

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 8847 and 8865 is 8714295.

LCM(8847,8865) = 8714295

LCM Calculator and
and

Least Common Multiple of 8847 and 8865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8847 and 8865, than apply into the LCM equation.

GCF(8847,8865) = 9
LCM(8847,8865) = ( 8847 × 8865) / 9
LCM(8847,8865) = 78428655 / 9
LCM(8847,8865) = 8714295

Least Common Multiple (LCM) of 8847 and 8865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8847 and 8865. First we will calculate the prime factors of 8847 and 8865.

Prime Factorization of 8847

Prime factors of 8847 are 3, 983. Prime factorization of 8847 in exponential form is:

8847 = 32 × 9831

Prime Factorization of 8865

Prime factors of 8865 are 3, 5, 197. Prime factorization of 8865 in exponential form is:

8865 = 32 × 51 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 8847 and 8865.

LCM(8847,8865) = 32 × 9831 × 51 × 1971
LCM(8847,8865) = 8714295