What is the Least Common Multiple of 17226 and 17239?

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 17226 and 17239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17226 and 17239, than apply into the LCM equation.

GCF(17226,17239) = 1
LCM(17226,17239) = ( 17226 × 17239) / 1
LCM(17226,17239) = 296959014 / 1
LCM(17226,17239) = 296959014

Least Common Multiple (LCM) of 17226 and 17239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17226 and 17239. First we will calculate the prime factors of 17226 and 17239.

Prime Factorization of 17226

Prime Factorization of 17239

Now multiplying the highest exponent prime factors to calculate the LCM of 17226 and 17239.

LCM(17226,17239) = 2¹ × 3³ × 11¹ × 29¹ × 17239¹
LCM(17226,17239) = 296959014