What is the Least Common Multiple of 18300 and 18318?

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 18300 and 18318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18300 and 18318, than apply into the LCM equation.

GCF(18300,18318) = 6
LCM(18300,18318) = ( 18300 × 18318) / 6
LCM(18300,18318) = 335219400 / 6
LCM(18300,18318) = 55869900

Least Common Multiple (LCM) of 18300 and 18318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18300 and 18318. First we will calculate the prime factors of 18300 and 18318.

Prime Factorization of 18300

Prime Factorization of 18318

Now multiplying the highest exponent prime factors to calculate the LCM of 18300 and 18318.

LCM(18300,18318) = 2² × 3¹ × 5² × 61¹ × 43¹ × 71¹
LCM(18300,18318) = 55869900