What is the Least Common Multiple of 80238 and 80256?

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 80238 and 80256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80238 and 80256, than apply into the LCM equation.

GCF(80238,80256) = 6
LCM(80238,80256) = ( 80238 × 80256) / 6
LCM(80238,80256) = 6439580928 / 6
LCM(80238,80256) = 1073263488

Least Common Multiple (LCM) of 80238 and 80256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80238 and 80256. First we will calculate the prime factors of 80238 and 80256.

Prime Factorization of 80238

Prime Factorization of 80256

Now multiplying the highest exponent prime factors to calculate the LCM of 80238 and 80256.

LCM(80238,80256) = 2⁷ × 3¹ × 43¹ × 311¹ × 11¹ × 19¹
LCM(80238,80256) = 1073263488