GCF and LCM Calculator Logo

What is the Least Common Multiple of 89585 and 89595?

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 89585 and 89595 is 1605273615.

LCM(89585,89595) = 1605273615

LCM Calculator and
and

Least Common Multiple of 89585 and 89595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89585 and 89595, than apply into the LCM equation.

GCF(89585,89595) = 5
LCM(89585,89595) = ( 89585 × 89595) / 5
LCM(89585,89595) = 8026368075 / 5
LCM(89585,89595) = 1605273615

Least Common Multiple (LCM) of 89585 and 89595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89585 and 89595. First we will calculate the prime factors of 89585 and 89595.

Prime Factorization of 89585

Prime factors of 89585 are 5, 19, 23, 41. Prime factorization of 89585 in exponential form is:

89585 = 51 × 191 × 231 × 411

Prime Factorization of 89595

Prime factors of 89595 are 3, 5, 11, 181. Prime factorization of 89595 in exponential form is:

89595 = 32 × 51 × 111 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 89585 and 89595.

LCM(89585,89595) = 51 × 191 × 231 × 411 × 32 × 111 × 1811
LCM(89585,89595) = 1605273615