What is the Least Common Multiple of 17379 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 17379 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 17379 and 17384, than apply into the LCM equation.

GCF(17379,17384) = 1
LCM(17379,17384) = ( 17379 × 17384) / 1
LCM(17379,17384) = 302116536 / 1
LCM(17379,17384) = 302116536

Least Common Multiple (LCM) of 17379 and 17384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17379 and 17384. First we will calculate the prime factors of 17379 and 17384.

Prime Factorization of 17379

Prime Factorization of 17384

Now multiplying the highest exponent prime factors to calculate the LCM of 17379 and 17384.

LCM(17379,17384) = 3² × 1931¹ × 2³ × 41¹ × 53¹
LCM(17379,17384) = 302116536