What is the Least Common Multiple of 18342 and 18360?

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 18342 and 18360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18342 and 18360, than apply into the LCM equation.

GCF(18342,18360) = 18
LCM(18342,18360) = ( 18342 × 18360) / 18
LCM(18342,18360) = 336759120 / 18
LCM(18342,18360) = 18708840

Least Common Multiple (LCM) of 18342 and 18360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18342 and 18360. First we will calculate the prime factors of 18342 and 18360.

Prime Factorization of 18342

Prime Factorization of 18360

Now multiplying the highest exponent prime factors to calculate the LCM of 18342 and 18360.

LCM(18342,18360) = 2³ × 3³ × 1019¹ × 5¹ × 17¹
LCM(18342,18360) = 18708840