What is the Least Common Multiple of 18256 and 18268?

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 18256 and 18268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18256 and 18268, than apply into the LCM equation.

GCF(18256,18268) = 4
LCM(18256,18268) = ( 18256 × 18268) / 4
LCM(18256,18268) = 333500608 / 4
LCM(18256,18268) = 83375152

Least Common Multiple (LCM) of 18256 and 18268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18256 and 18268. First we will calculate the prime factors of 18256 and 18268.

Prime Factorization of 18256

Prime Factorization of 18268

Now multiplying the highest exponent prime factors to calculate the LCM of 18256 and 18268.

LCM(18256,18268) = 2⁴ × 7¹ × 163¹ × 4567¹
LCM(18256,18268) = 83375152