What is the Least Common Multiple of 18414 and 18423?

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 18414 and 18423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18414 and 18423, than apply into the LCM equation.

GCF(18414,18423) = 9
LCM(18414,18423) = ( 18414 × 18423) / 9
LCM(18414,18423) = 339241122 / 9
LCM(18414,18423) = 37693458

Least Common Multiple (LCM) of 18414 and 18423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18414 and 18423. First we will calculate the prime factors of 18414 and 18423.

Prime Factorization of 18414

Prime Factorization of 18423

Now multiplying the highest exponent prime factors to calculate the LCM of 18414 and 18423.

LCM(18414,18423) = 2¹ × 3³ × 11¹ × 31¹ × 23¹ × 89¹
LCM(18414,18423) = 37693458