What is the Least Common Multiple of 38238 and 38256?

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 38238 and 38256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38238 and 38256, than apply into the LCM equation.

GCF(38238,38256) = 6
LCM(38238,38256) = ( 38238 × 38256) / 6
LCM(38238,38256) = 1462832928 / 6
LCM(38238,38256) = 243805488

Least Common Multiple (LCM) of 38238 and 38256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38238 and 38256. First we will calculate the prime factors of 38238 and 38256.

Prime Factorization of 38238

Prime Factorization of 38256

Now multiplying the highest exponent prime factors to calculate the LCM of 38238 and 38256.

LCM(38238,38256) = 2⁴ × 3¹ × 6373¹ × 797¹
LCM(38238,38256) = 243805488