What is the Least Common Multiple of 18555 and 18563?

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 18555 and 18563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18555 and 18563, than apply into the LCM equation.

GCF(18555,18563) = 1
LCM(18555,18563) = ( 18555 × 18563) / 1
LCM(18555,18563) = 344436465 / 1
LCM(18555,18563) = 344436465

Least Common Multiple (LCM) of 18555 and 18563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18555 and 18563. First we will calculate the prime factors of 18555 and 18563.

Prime Factorization of 18555

Prime Factorization of 18563

Now multiplying the highest exponent prime factors to calculate the LCM of 18555 and 18563.

LCM(18555,18563) = 3¹ × 5¹ × 1237¹ × 19¹ × 977¹
LCM(18555,18563) = 344436465