What is the Least Common Multiple of 89165 and 89185?

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 of 89165 and 89185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89165 and 89185, than apply into the LCM equation.

GCF(89165,89185) = 5
LCM(89165,89185) = ( 89165 × 89185) / 5
LCM(89165,89185) = 7952180525 / 5
LCM(89165,89185) = 1590436105

Least Common Multiple (LCM) of 89165 and 89185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89165 and 89185. First we will calculate the prime factors of 89165 and 89185.

Prime Factorization of 89165

Prime Factorization of 89185

Now multiplying the highest exponent prime factors to calculate the LCM of 89165 and 89185.

LCM(89165,89185) = 5¹ × 17¹ × 1049¹ × 17837¹
LCM(89165,89185) = 1590436105