What is the Least Common Multiple of 17382 and 17398?

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 17382 and 17398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17382 and 17398, than apply into the LCM equation.

GCF(17382,17398) = 2
LCM(17382,17398) = ( 17382 × 17398) / 2
LCM(17382,17398) = 302412036 / 2
LCM(17382,17398) = 151206018

Least Common Multiple (LCM) of 17382 and 17398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17382 and 17398. First we will calculate the prime factors of 17382 and 17398.

Prime Factorization of 17382

Prime Factorization of 17398

Now multiplying the highest exponent prime factors to calculate the LCM of 17382 and 17398.

LCM(17382,17398) = 2¹ × 3¹ × 2897¹ × 8699¹
LCM(17382,17398) = 151206018