What is the Least Common Multiple of 82244 and 82256?

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 82244 and 82256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82244 and 82256, than apply into the LCM equation.

GCF(82244,82256) = 4
LCM(82244,82256) = ( 82244 × 82256) / 4
LCM(82244,82256) = 6765062464 / 4
LCM(82244,82256) = 1691265616

Least Common Multiple (LCM) of 82244 and 82256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82244 and 82256. First we will calculate the prime factors of 82244 and 82256.

Prime Factorization of 82244

Prime Factorization of 82256

Now multiplying the highest exponent prime factors to calculate the LCM of 82244 and 82256.

LCM(82244,82256) = 2⁴ × 29¹ × 709¹ × 53¹ × 97¹
LCM(82244,82256) = 1691265616