What is the Least Common Multiple of 2178 and 2187?

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 2178 and 2187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2178 and 2187, than apply into the LCM equation.

GCF(2178,2187) = 9
LCM(2178,2187) = ( 2178 × 2187) / 9
LCM(2178,2187) = 4763286 / 9
LCM(2178,2187) = 529254

Least Common Multiple (LCM) of 2178 and 2187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2178 and 2187. First we will calculate the prime factors of 2178 and 2187.

Prime Factorization of 2178

Prime Factorization of 2187

Now multiplying the highest exponent prime factors to calculate the LCM of 2178 and 2187.

LCM(2178,2187) = 2¹ × 3⁷ × 11²
LCM(2178,2187) = 529254