What is the Least Common Multiple of 9085 and 9104?

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 9085 and 9104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9085 and 9104, than apply into the LCM equation.

GCF(9085,9104) = 1
LCM(9085,9104) = ( 9085 × 9104) / 1
LCM(9085,9104) = 82709840 / 1
LCM(9085,9104) = 82709840

Least Common Multiple (LCM) of 9085 and 9104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9085 and 9104. First we will calculate the prime factors of 9085 and 9104.

Prime Factorization of 9085

Prime Factorization of 9104

Now multiplying the highest exponent prime factors to calculate the LCM of 9085 and 9104.

LCM(9085,9104) = 5¹ × 23¹ × 79¹ × 2⁴ × 569¹
LCM(9085,9104) = 82709840