What is the Least Common Multiple of 18336 and 18340?

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 18336 and 18340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18336 and 18340, than apply into the LCM equation.

GCF(18336,18340) = 4
LCM(18336,18340) = ( 18336 × 18340) / 4
LCM(18336,18340) = 336282240 / 4
LCM(18336,18340) = 84070560

Least Common Multiple (LCM) of 18336 and 18340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18336 and 18340. First we will calculate the prime factors of 18336 and 18340.

Prime Factorization of 18336

Prime Factorization of 18340

Now multiplying the highest exponent prime factors to calculate the LCM of 18336 and 18340.

LCM(18336,18340) = 2⁵ × 3¹ × 191¹ × 5¹ × 7¹ × 131¹
LCM(18336,18340) = 84070560