What is the Least Common Multiple of 82039 and 82057?

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 82039 and 82057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82039 and 82057, than apply into the LCM equation.

GCF(82039,82057) = 1
LCM(82039,82057) = ( 82039 × 82057) / 1
LCM(82039,82057) = 6731874223 / 1
LCM(82039,82057) = 6731874223

Least Common Multiple (LCM) of 82039 and 82057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82039 and 82057. First we will calculate the prime factors of 82039 and 82057.

Prime Factorization of 82039

Prime Factorization of 82057

Now multiplying the highest exponent prime factors to calculate the LCM of 82039 and 82057.

LCM(82039,82057) = 82039¹ × 31¹ × 2647¹
LCM(82039,82057) = 6731874223