GCF and LCM Calculator Logo

What is the Least Common Multiple of 8995 and 8999?

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 8995 and 8999 is 80946005.

LCM(8995,8999) = 80946005

LCM Calculator and
and

Least Common Multiple of 8995 and 8999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8995 and 8999, than apply into the LCM equation.

GCF(8995,8999) = 1
LCM(8995,8999) = ( 8995 × 8999) / 1
LCM(8995,8999) = 80946005 / 1
LCM(8995,8999) = 80946005

Least Common Multiple (LCM) of 8995 and 8999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8995 and 8999. First we will calculate the prime factors of 8995 and 8999.

Prime Factorization of 8995

Prime factors of 8995 are 5, 7, 257. Prime factorization of 8995 in exponential form is:

8995 = 51 × 71 × 2571

Prime Factorization of 8999

Prime factors of 8999 are 8999. Prime factorization of 8999 in exponential form is:

8999 = 89991

Now multiplying the highest exponent prime factors to calculate the LCM of 8995 and 8999.

LCM(8995,8999) = 51 × 71 × 2571 × 89991
LCM(8995,8999) = 80946005