What is the Least Common Multiple of 82957 and 82972?

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 82972 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 82972, than apply into the LCM equation.

GCF(82957,82972) = 1
LCM(82957,82972) = ( 82957 × 82972) / 1
LCM(82957,82972) = 6883108204 / 1
LCM(82957,82972) = 6883108204

Least Common Multiple (LCM) of 82957 and 82972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82957 and 82972. First we will calculate the prime factors of 82957 and 82972.

Prime Factorization of 82957

Prime Factorization of 82972

Now multiplying the highest exponent prime factors to calculate the LCM of 82957 and 82972.

LCM(82957,82972) = 7² × 1693¹ × 2² × 20743¹
LCM(82957,82972) = 6883108204