What is the Least Common Multiple of 18600 and 18614?

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 18600 and 18614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18600 and 18614, than apply into the LCM equation.

GCF(18600,18614) = 2
LCM(18600,18614) = ( 18600 × 18614) / 2
LCM(18600,18614) = 346220400 / 2
LCM(18600,18614) = 173110200

Least Common Multiple (LCM) of 18600 and 18614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18600 and 18614. First we will calculate the prime factors of 18600 and 18614.

Prime Factorization of 18600

Prime Factorization of 18614

Now multiplying the highest exponent prime factors to calculate the LCM of 18600 and 18614.

LCM(18600,18614) = 2³ × 3¹ × 5² × 31¹ × 41¹ × 227¹
LCM(18600,18614) = 173110200