What is the Least Common Multiple of 82256 and 82264?

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 82256 and 82264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82256 and 82264, than apply into the LCM equation.

GCF(82256,82264) = 8
LCM(82256,82264) = ( 82256 × 82264) / 8
LCM(82256,82264) = 6766707584 / 8
LCM(82256,82264) = 845838448

Least Common Multiple (LCM) of 82256 and 82264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82256 and 82264. First we will calculate the prime factors of 82256 and 82264.

Prime Factorization of 82256

Prime Factorization of 82264

Now multiplying the highest exponent prime factors to calculate the LCM of 82256 and 82264.

LCM(82256,82264) = 2⁴ × 53¹ × 97¹ × 7¹ × 13¹ × 113¹
LCM(82256,82264) = 845838448