What is the Least Common Multiple of 82144 and 82163?

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 82144 and 82163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82144 and 82163, than apply into the LCM equation.

GCF(82144,82163) = 1
LCM(82144,82163) = ( 82144 × 82163) / 1
LCM(82144,82163) = 6749197472 / 1
LCM(82144,82163) = 6749197472

Least Common Multiple (LCM) of 82144 and 82163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82144 and 82163. First we will calculate the prime factors of 82144 and 82163.

Prime Factorization of 82144

Prime Factorization of 82163

Now multiplying the highest exponent prime factors to calculate the LCM of 82144 and 82163.

LCM(82144,82163) = 2⁵ × 17¹ × 151¹ × 82163¹
LCM(82144,82163) = 6749197472