What is the Least Common Multiple of 82957 and 82966?

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 82957 and 82966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82957 and 82966, than apply into the LCM equation.

GCF(82957,82966) = 1
LCM(82957,82966) = ( 82957 × 82966) / 1
LCM(82957,82966) = 6882610462 / 1
LCM(82957,82966) = 6882610462

Least Common Multiple (LCM) of 82957 and 82966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82957 and 82966. First we will calculate the prime factors of 82957 and 82966.

Prime Factorization of 82957

Prime Factorization of 82966

Now multiplying the highest exponent prime factors to calculate the LCM of 82957 and 82966.

LCM(82957,82966) = 7² × 1693¹ × 2¹ × 13¹ × 3191¹
LCM(82957,82966) = 6882610462