What is the Least Common Multiple of 82144 and 82154?

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 82154 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 82154, than apply into the LCM equation.

GCF(82144,82154) = 2
LCM(82144,82154) = ( 82144 × 82154) / 2
LCM(82144,82154) = 6748458176 / 2
LCM(82144,82154) = 3374229088

Least Common Multiple (LCM) of 82144 and 82154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82144 and 82154. First we will calculate the prime factors of 82144 and 82154.

Prime Factorization of 82144

Prime Factorization of 82154

Now multiplying the highest exponent prime factors to calculate the LCM of 82144 and 82154.

LCM(82144,82154) = 2⁵ × 17¹ × 151¹ × 41077¹
LCM(82144,82154) = 3374229088