What is the Least Common Multiple of 20238 and 20256?

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 20238 and 20256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20238 and 20256, than apply into the LCM equation.

GCF(20238,20256) = 6
LCM(20238,20256) = ( 20238 × 20256) / 6
LCM(20238,20256) = 409940928 / 6
LCM(20238,20256) = 68323488

Least Common Multiple (LCM) of 20238 and 20256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20238 and 20256. First we will calculate the prime factors of 20238 and 20256.

Prime Factorization of 20238

Prime Factorization of 20256

Now multiplying the highest exponent prime factors to calculate the LCM of 20238 and 20256.

LCM(20238,20256) = 2⁵ × 3¹ × 3373¹ × 211¹
LCM(20238,20256) = 68323488