What is the Least Common Multiple of 18360 and 18370?

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 18370 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 18370, than apply into the LCM equation.

GCF(18360,18370) = 10
LCM(18360,18370) = ( 18360 × 18370) / 10
LCM(18360,18370) = 337273200 / 10
LCM(18360,18370) = 33727320

Least Common Multiple (LCM) of 18360 and 18370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18360 and 18370. First we will calculate the prime factors of 18360 and 18370.

Prime Factorization of 18360

Prime Factorization of 18370

Now multiplying the highest exponent prime factors to calculate the LCM of 18360 and 18370.

LCM(18360,18370) = 2³ × 3³ × 5¹ × 17¹ × 11¹ × 167¹
LCM(18360,18370) = 33727320