GCF and LCM Calculator Logo

What is the Least Common Multiple of 89857 and 89867?

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 89857 and 89867 is 8075179019.

LCM(89857,89867) = 8075179019

LCM Calculator and
and

Least Common Multiple of 89857 and 89867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89857 and 89867, than apply into the LCM equation.

GCF(89857,89867) = 1
LCM(89857,89867) = ( 89857 × 89867) / 1
LCM(89857,89867) = 8075179019 / 1
LCM(89857,89867) = 8075179019

Least Common Multiple (LCM) of 89857 and 89867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89857 and 89867. First we will calculate the prime factors of 89857 and 89867.

Prime Factorization of 89857

Prime factors of 89857 are 59, 1523. Prime factorization of 89857 in exponential form is:

89857 = 591 × 15231

Prime Factorization of 89867

Prime factors of 89867 are 89867. Prime factorization of 89867 in exponential form is:

89867 = 898671

Now multiplying the highest exponent prime factors to calculate the LCM of 89857 and 89867.

LCM(89857,89867) = 591 × 15231 × 898671
LCM(89857,89867) = 8075179019