What is the Least Common Multiple of 82123 and 82142?

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 82123 and 82142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82123 and 82142, than apply into the LCM equation.

GCF(82123,82142) = 1
LCM(82123,82142) = ( 82123 × 82142) / 1
LCM(82123,82142) = 6745747466 / 1
LCM(82123,82142) = 6745747466

Least Common Multiple (LCM) of 82123 and 82142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82123 and 82142. First we will calculate the prime factors of 82123 and 82142.

Prime Factorization of 82123

Prime Factorization of 82142

Now multiplying the highest exponent prime factors to calculate the LCM of 82123 and 82142.

LCM(82123,82142) = 41¹ × 2003¹ × 2¹ × 67¹ × 613¹
LCM(82123,82142) = 6745747466