What is the Least Common Multiple of 17142 and 17159?

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 17142 and 17159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17142 and 17159, than apply into the LCM equation.

GCF(17142,17159) = 1
LCM(17142,17159) = ( 17142 × 17159) / 1
LCM(17142,17159) = 294139578 / 1
LCM(17142,17159) = 294139578

Least Common Multiple (LCM) of 17142 and 17159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17142 and 17159. First we will calculate the prime factors of 17142 and 17159.

Prime Factorization of 17142

Prime Factorization of 17159

Now multiplying the highest exponent prime factors to calculate the LCM of 17142 and 17159.

LCM(17142,17159) = 2¹ × 3¹ × 2857¹ × 17159¹
LCM(17142,17159) = 294139578