What is the Least Common Multiple of 18395 and 18406?

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 18395 and 18406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18395 and 18406, than apply into the LCM equation.

GCF(18395,18406) = 1
LCM(18395,18406) = ( 18395 × 18406) / 1
LCM(18395,18406) = 338578370 / 1
LCM(18395,18406) = 338578370

Least Common Multiple (LCM) of 18395 and 18406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18395 and 18406. First we will calculate the prime factors of 18395 and 18406.

Prime Factorization of 18395

Prime Factorization of 18406

Now multiplying the highest exponent prime factors to calculate the LCM of 18395 and 18406.

LCM(18395,18406) = 5¹ × 13¹ × 283¹ × 2¹ × 9203¹
LCM(18395,18406) = 338578370