What is the Least Common Multiple of 17784 and 17789?

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 17784 and 17789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17784 and 17789, than apply into the LCM equation.

GCF(17784,17789) = 1
LCM(17784,17789) = ( 17784 × 17789) / 1
LCM(17784,17789) = 316359576 / 1
LCM(17784,17789) = 316359576

Least Common Multiple (LCM) of 17784 and 17789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17784 and 17789. First we will calculate the prime factors of 17784 and 17789.

Prime Factorization of 17784

Prime Factorization of 17789

Now multiplying the highest exponent prime factors to calculate the LCM of 17784 and 17789.

LCM(17784,17789) = 2³ × 3² × 13¹ × 19¹ × 17789¹
LCM(17784,17789) = 316359576