What is the Least Common Multiple of 80256 and 80274?

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 80274 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 80274, than apply into the LCM equation.

GCF(80256,80274) = 6
LCM(80256,80274) = ( 80256 × 80274) / 6
LCM(80256,80274) = 6442470144 / 6
LCM(80256,80274) = 1073745024

Least Common Multiple (LCM) of 80256 and 80274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80256 and 80274. First we will calculate the prime factors of 80256 and 80274.

Prime Factorization of 80256

Prime Factorization of 80274

Now multiplying the highest exponent prime factors to calculate the LCM of 80256 and 80274.

LCM(80256,80274) = 2⁷ × 3¹ × 11¹ × 19¹ × 17¹ × 787¹
LCM(80256,80274) = 1073745024