What is the Least Common Multiple of 84256 and 84266?

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 84256 and 84266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84256 and 84266, than apply into the LCM equation.

GCF(84256,84266) = 2
LCM(84256,84266) = ( 84256 × 84266) / 2
LCM(84256,84266) = 7099916096 / 2
LCM(84256,84266) = 3549958048

Least Common Multiple (LCM) of 84256 and 84266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84256 and 84266. First we will calculate the prime factors of 84256 and 84266.

Prime Factorization of 84256

Prime Factorization of 84266

Now multiplying the highest exponent prime factors to calculate the LCM of 84256 and 84266.

LCM(84256,84266) = 2⁵ × 2633¹ × 7¹ × 13¹ × 463¹
LCM(84256,84266) = 3549958048