What is the Least Common Multiple of 17090 and 17097?

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 17090 and 17097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17090 and 17097, than apply into the LCM equation.

GCF(17090,17097) = 1
LCM(17090,17097) = ( 17090 × 17097) / 1
LCM(17090,17097) = 292187730 / 1
LCM(17090,17097) = 292187730

Least Common Multiple (LCM) of 17090 and 17097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17090 and 17097. First we will calculate the prime factors of 17090 and 17097.

Prime Factorization of 17090

Prime Factorization of 17097

Now multiplying the highest exponent prime factors to calculate the LCM of 17090 and 17097.

LCM(17090,17097) = 2¹ × 5¹ × 1709¹ × 3¹ × 41¹ × 139¹
LCM(17090,17097) = 292187730