GCF and LCM Calculator Logo

What is the Least Common Multiple of 86885 and 86894?

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 86885 and 86894 is 7549785190.

LCM(86885,86894) = 7549785190

LCM Calculator and
and

Least Common Multiple of 86885 and 86894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86885 and 86894, than apply into the LCM equation.

GCF(86885,86894) = 1
LCM(86885,86894) = ( 86885 × 86894) / 1
LCM(86885,86894) = 7549785190 / 1
LCM(86885,86894) = 7549785190

Least Common Multiple (LCM) of 86885 and 86894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86885 and 86894. First we will calculate the prime factors of 86885 and 86894.

Prime Factorization of 86885

Prime factors of 86885 are 5, 17377. Prime factorization of 86885 in exponential form is:

86885 = 51 × 173771

Prime Factorization of 86894

Prime factors of 86894 are 2, 23, 1889. Prime factorization of 86894 in exponential form is:

86894 = 21 × 231 × 18891

Now multiplying the highest exponent prime factors to calculate the LCM of 86885 and 86894.

LCM(86885,86894) = 51 × 173771 × 21 × 231 × 18891
LCM(86885,86894) = 7549785190