What is the Least Common Multiple of 2169 and 2178?

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 2169 and 2178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2169 and 2178, than apply into the LCM equation.

GCF(2169,2178) = 9
LCM(2169,2178) = ( 2169 × 2178) / 9
LCM(2169,2178) = 4724082 / 9
LCM(2169,2178) = 524898

Least Common Multiple (LCM) of 2169 and 2178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2169 and 2178. First we will calculate the prime factors of 2169 and 2178.

Prime Factorization of 2169

Prime Factorization of 2178

Now multiplying the highest exponent prime factors to calculate the LCM of 2169 and 2178.

LCM(2169,2178) = 3² × 241¹ × 2¹ × 11²
LCM(2169,2178) = 524898