What is the Least Common Multiple of 82809 and 82814?

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 82809 and 82814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82809 and 82814, than apply into the LCM equation.

GCF(82809,82814) = 1
LCM(82809,82814) = ( 82809 × 82814) / 1
LCM(82809,82814) = 6857744526 / 1
LCM(82809,82814) = 6857744526

Least Common Multiple (LCM) of 82809 and 82814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82809 and 82814. First we will calculate the prime factors of 82809 and 82814.

Prime Factorization of 82809

Prime Factorization of 82814

Now multiplying the highest exponent prime factors to calculate the LCM of 82809 and 82814.

LCM(82809,82814) = 3³ × 3067¹ × 2¹ × 47¹ × 881¹
LCM(82809,82814) = 6857744526