What is the Least Common Multiple of 18348 and 18368?

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 18348 and 18368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18348 and 18368, than apply into the LCM equation.

GCF(18348,18368) = 4
LCM(18348,18368) = ( 18348 × 18368) / 4
LCM(18348,18368) = 337016064 / 4
LCM(18348,18368) = 84254016

Least Common Multiple (LCM) of 18348 and 18368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18348 and 18368. First we will calculate the prime factors of 18348 and 18368.

Prime Factorization of 18348

Prime Factorization of 18368

Now multiplying the highest exponent prime factors to calculate the LCM of 18348 and 18368.

LCM(18348,18368) = 2⁶ × 3¹ × 11¹ × 139¹ × 7¹ × 41¹
LCM(18348,18368) = 84254016