What is the Least Common Multiple of 17189 and 17206?

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 17189 and 17206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17189 and 17206, than apply into the LCM equation.

GCF(17189,17206) = 1
LCM(17189,17206) = ( 17189 × 17206) / 1
LCM(17189,17206) = 295753934 / 1
LCM(17189,17206) = 295753934

Least Common Multiple (LCM) of 17189 and 17206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17189 and 17206. First we will calculate the prime factors of 17189 and 17206.

Prime Factorization of 17189

Prime Factorization of 17206

Now multiplying the highest exponent prime factors to calculate the LCM of 17189 and 17206.

LCM(17189,17206) = 17189¹ × 2¹ × 7¹ × 1229¹
LCM(17189,17206) = 295753934