What is the Least Common Multiple of 18360 and 18366?

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 18360 and 18366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18360 and 18366, than apply into the LCM equation.

GCF(18360,18366) = 6
LCM(18360,18366) = ( 18360 × 18366) / 6
LCM(18360,18366) = 337199760 / 6
LCM(18360,18366) = 56199960

Least Common Multiple (LCM) of 18360 and 18366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18360 and 18366. First we will calculate the prime factors of 18360 and 18366.

Prime Factorization of 18360

Prime Factorization of 18366

Now multiplying the highest exponent prime factors to calculate the LCM of 18360 and 18366.

LCM(18360,18366) = 2³ × 3³ × 5¹ × 17¹ × 3061¹
LCM(18360,18366) = 56199960