What is the Least Common Multiple of 80252 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 80252 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 80252 and 80256, than apply into the LCM equation.

GCF(80252,80256) = 4
LCM(80252,80256) = ( 80252 × 80256) / 4
LCM(80252,80256) = 6440704512 / 4
LCM(80252,80256) = 1610176128

Least Common Multiple (LCM) of 80252 and 80256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80252 and 80256. First we will calculate the prime factors of 80252 and 80256.

Prime Factorization of 80252

Prime Factorization of 80256

Now multiplying the highest exponent prime factors to calculate the LCM of 80252 and 80256.

LCM(80252,80256) = 2⁷ × 20063¹ × 3¹ × 11¹ × 19¹
LCM(80252,80256) = 1610176128