What is the Least Common Multiple of 80256 and 80262?

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 80256 and 80262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80256 and 80262, than apply into the LCM equation.

GCF(80256,80262) = 6
LCM(80256,80262) = ( 80256 × 80262) / 6
LCM(80256,80262) = 6441507072 / 6
LCM(80256,80262) = 1073584512

Least Common Multiple (LCM) of 80256 and 80262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80256 and 80262. First we will calculate the prime factors of 80256 and 80262.

Prime Factorization of 80256

Prime Factorization of 80262

Now multiplying the highest exponent prime factors to calculate the LCM of 80256 and 80262.

LCM(80256,80262) = 2⁷ × 3² × 11¹ × 19¹ × 7³ × 13¹
LCM(80256,80262) = 1073584512