What is the Least Common Multiple of 38314 and 38323?

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 38314 and 38323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38314 and 38323, than apply into the LCM equation.

GCF(38314,38323) = 1
LCM(38314,38323) = ( 38314 × 38323) / 1
LCM(38314,38323) = 1468307422 / 1
LCM(38314,38323) = 1468307422

Least Common Multiple (LCM) of 38314 and 38323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38314 and 38323. First we will calculate the prime factors of 38314 and 38323.

Prime Factorization of 38314

Prime Factorization of 38323

Now multiplying the highest exponent prime factors to calculate the LCM of 38314 and 38323.

LCM(38314,38323) = 2¹ × 19157¹ × 19¹ × 2017¹
LCM(38314,38323) = 1468307422