What is the Least Common Multiple of 18423 and 18437?

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 18423 and 18437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18423 and 18437, than apply into the LCM equation.

GCF(18423,18437) = 1
LCM(18423,18437) = ( 18423 × 18437) / 1
LCM(18423,18437) = 339664851 / 1
LCM(18423,18437) = 339664851

Least Common Multiple (LCM) of 18423 and 18437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18423 and 18437. First we will calculate the prime factors of 18423 and 18437.

Prime Factorization of 18423

Prime Factorization of 18437

Now multiplying the highest exponent prime factors to calculate the LCM of 18423 and 18437.

LCM(18423,18437) = 3² × 23¹ × 89¹ × 103¹ × 179¹
LCM(18423,18437) = 339664851