What is the Least Common Multiple of 17080 and 17090?

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 17090 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 17090, than apply into the LCM equation.

GCF(17080,17090) = 10
LCM(17080,17090) = ( 17080 × 17090) / 10
LCM(17080,17090) = 291897200 / 10
LCM(17080,17090) = 29189720

Least Common Multiple (LCM) of 17080 and 17090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17080 and 17090. First we will calculate the prime factors of 17080 and 17090.

Prime Factorization of 17080

Prime Factorization of 17090

Now multiplying the highest exponent prime factors to calculate the LCM of 17080 and 17090.

LCM(17080,17090) = 2³ × 5¹ × 7¹ × 61¹ × 1709¹
LCM(17080,17090) = 29189720