What is the Least Common Multiple of 17784 and 17800?

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 17800 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 17800, than apply into the LCM equation.

GCF(17784,17800) = 8
LCM(17784,17800) = ( 17784 × 17800) / 8
LCM(17784,17800) = 316555200 / 8
LCM(17784,17800) = 39569400

Least Common Multiple (LCM) of 17784 and 17800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17784 and 17800. First we will calculate the prime factors of 17784 and 17800.

Prime Factorization of 17784

Prime Factorization of 17800

Now multiplying the highest exponent prime factors to calculate the LCM of 17784 and 17800.

LCM(17784,17800) = 2³ × 3² × 13¹ × 19¹ × 5² × 89¹
LCM(17784,17800) = 39569400