What is the Least Common Multiple of 82104 and 82111?

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 82104 and 82111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82104 and 82111, than apply into the LCM equation.

GCF(82104,82111) = 1
LCM(82104,82111) = ( 82104 × 82111) / 1
LCM(82104,82111) = 6741641544 / 1
LCM(82104,82111) = 6741641544

Least Common Multiple (LCM) of 82104 and 82111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82104 and 82111. First we will calculate the prime factors of 82104 and 82111.

Prime Factorization of 82104

Prime Factorization of 82111

Now multiplying the highest exponent prime factors to calculate the LCM of 82104 and 82111.

LCM(82104,82111) = 2³ × 3¹ × 11¹ × 311¹ × 157¹ × 523¹
LCM(82104,82111) = 6741641544