What is the Least Common Multiple of 80256 and 80270?

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 80270 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 80270, than apply into the LCM equation.

GCF(80256,80270) = 2
LCM(80256,80270) = ( 80256 × 80270) / 2
LCM(80256,80270) = 6442149120 / 2
LCM(80256,80270) = 3221074560

Least Common Multiple (LCM) of 80256 and 80270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80256 and 80270. First we will calculate the prime factors of 80256 and 80270.

Prime Factorization of 80256

Prime Factorization of 80270

Now multiplying the highest exponent prime factors to calculate the LCM of 80256 and 80270.

LCM(80256,80270) = 2⁷ × 3¹ × 11¹ × 19¹ × 5¹ × 23¹ × 349¹
LCM(80256,80270) = 3221074560