What is the Least Common Multiple of 81256 and 81274?

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 81256 and 81274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81256 and 81274, than apply into the LCM equation.

GCF(81256,81274) = 2
LCM(81256,81274) = ( 81256 × 81274) / 2
LCM(81256,81274) = 6604000144 / 2
LCM(81256,81274) = 3302000072

Least Common Multiple (LCM) of 81256 and 81274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81256 and 81274. First we will calculate the prime factors of 81256 and 81274.

Prime Factorization of 81256

Prime Factorization of 81274

Now multiplying the highest exponent prime factors to calculate the LCM of 81256 and 81274.

LCM(81256,81274) = 2³ × 7¹ × 1451¹ × 40637¹
LCM(81256,81274) = 3302000072