What is the Least Common Multiple of 17264 and 17283?

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 17264 and 17283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17264 and 17283, than apply into the LCM equation.

GCF(17264,17283) = 1
LCM(17264,17283) = ( 17264 × 17283) / 1
LCM(17264,17283) = 298373712 / 1
LCM(17264,17283) = 298373712

Least Common Multiple (LCM) of 17264 and 17283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17264 and 17283. First we will calculate the prime factors of 17264 and 17283.

Prime Factorization of 17264

Prime Factorization of 17283

Now multiplying the highest exponent prime factors to calculate the LCM of 17264 and 17283.

LCM(17264,17283) = 2⁴ × 13¹ × 83¹ × 3¹ × 7¹ × 823¹
LCM(17264,17283) = 298373712