What is the Least Common Multiple of 82126 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 82126 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 82126 and 82144, than apply into the LCM equation.

GCF(82126,82144) = 2
LCM(82126,82144) = ( 82126 × 82144) / 2
LCM(82126,82144) = 6746158144 / 2
LCM(82126,82144) = 3373079072

Least Common Multiple (LCM) of 82126 and 82144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82126 and 82144. First we will calculate the prime factors of 82126 and 82144.

Prime Factorization of 82126

Prime Factorization of 82144

Now multiplying the highest exponent prime factors to calculate the LCM of 82126 and 82144.

LCM(82126,82144) = 2⁵ × 11¹ × 3733¹ × 17¹ × 151¹
LCM(82126,82144) = 3373079072