What is the Least Common Multiple of 17376 and 17384?

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 17376 and 17384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17376 and 17384, than apply into the LCM equation.

GCF(17376,17384) = 8
LCM(17376,17384) = ( 17376 × 17384) / 8
LCM(17376,17384) = 302064384 / 8
LCM(17376,17384) = 37758048

Least Common Multiple (LCM) of 17376 and 17384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17376 and 17384. First we will calculate the prime factors of 17376 and 17384.

Prime Factorization of 17376

Prime Factorization of 17384

Now multiplying the highest exponent prime factors to calculate the LCM of 17376 and 17384.

LCM(17376,17384) = 2⁵ × 3¹ × 181¹ × 41¹ × 53¹
LCM(17376,17384) = 37758048