What is the Least Common Multiple of 2187 and 2199?

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 2187 and 2199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2187 and 2199, than apply into the LCM equation.

GCF(2187,2199) = 3
LCM(2187,2199) = ( 2187 × 2199) / 3
LCM(2187,2199) = 4809213 / 3
LCM(2187,2199) = 1603071

Least Common Multiple (LCM) of 2187 and 2199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2187 and 2199. First we will calculate the prime factors of 2187 and 2199.

Prime Factorization of 2187

Prime Factorization of 2199

Now multiplying the highest exponent prime factors to calculate the LCM of 2187 and 2199.

LCM(2187,2199) = 3⁷ × 733¹
LCM(2187,2199) = 1603071