What is the Least Common Multiple of 17080 and 17089?

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 17080 and 17089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17080 and 17089, than apply into the LCM equation.

GCF(17080,17089) = 1
LCM(17080,17089) = ( 17080 × 17089) / 1
LCM(17080,17089) = 291880120 / 1
LCM(17080,17089) = 291880120

Least Common Multiple (LCM) of 17080 and 17089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17080 and 17089. First we will calculate the prime factors of 17080 and 17089.

Prime Factorization of 17080

Prime Factorization of 17089

Now multiplying the highest exponent prime factors to calculate the LCM of 17080 and 17089.

LCM(17080,17089) = 2³ × 5¹ × 7¹ × 61¹ × 23¹ × 743¹
LCM(17080,17089) = 291880120