What is the Least Common Multiple of 18600 and 18615?

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 18615 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 18615, than apply into the LCM equation.

GCF(18600,18615) = 15
LCM(18600,18615) = ( 18600 × 18615) / 15
LCM(18600,18615) = 346239000 / 15
LCM(18600,18615) = 23082600

Least Common Multiple (LCM) of 18600 and 18615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18600 and 18615. First we will calculate the prime factors of 18600 and 18615.

Prime Factorization of 18600

Prime Factorization of 18615

Now multiplying the highest exponent prime factors to calculate the LCM of 18600 and 18615.

LCM(18600,18615) = 2³ × 3¹ × 5² × 31¹ × 17¹ × 73¹
LCM(18600,18615) = 23082600