GCF and LCM Calculator Logo

What is the Least Common Multiple of 8655 and 8667?

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 8655 and 8667 is 25004295.

LCM(8655,8667) = 25004295

LCM Calculator and
and

Least Common Multiple of 8655 and 8667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8655 and 8667, than apply into the LCM equation.

GCF(8655,8667) = 3
LCM(8655,8667) = ( 8655 × 8667) / 3
LCM(8655,8667) = 75012885 / 3
LCM(8655,8667) = 25004295

Least Common Multiple (LCM) of 8655 and 8667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8655 and 8667. First we will calculate the prime factors of 8655 and 8667.

Prime Factorization of 8655

Prime factors of 8655 are 3, 5, 577. Prime factorization of 8655 in exponential form is:

8655 = 31 × 51 × 5771

Prime Factorization of 8667

Prime factors of 8667 are 3, 107. Prime factorization of 8667 in exponential form is:

8667 = 34 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8655 and 8667.

LCM(8655,8667) = 34 × 51 × 5771 × 1071
LCM(8655,8667) = 25004295