What is the Least Common Multiple of 82134 and 82144?

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 82134 and 82144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82134 and 82144, than apply into the LCM equation.

GCF(82134,82144) = 2
LCM(82134,82144) = ( 82134 × 82144) / 2
LCM(82134,82144) = 6746815296 / 2
LCM(82134,82144) = 3373407648

Least Common Multiple (LCM) of 82134 and 82144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82134 and 82144. First we will calculate the prime factors of 82134 and 82144.

Prime Factorization of 82134

Prime Factorization of 82144

Now multiplying the highest exponent prime factors to calculate the LCM of 82134 and 82144.

LCM(82134,82144) = 2⁵ × 3⁵ × 13² × 17¹ × 151¹
LCM(82134,82144) = 3373407648