What is the Least Common Multiple of 82575 and 82582?

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 82575 and 82582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82575 and 82582, than apply into the LCM equation.

GCF(82575,82582) = 1
LCM(82575,82582) = ( 82575 × 82582) / 1
LCM(82575,82582) = 6819208650 / 1
LCM(82575,82582) = 6819208650

Least Common Multiple (LCM) of 82575 and 82582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82575 and 82582. First we will calculate the prime factors of 82575 and 82582.

Prime Factorization of 82575

Prime Factorization of 82582

Now multiplying the highest exponent prime factors to calculate the LCM of 82575 and 82582.

LCM(82575,82582) = 3² × 5² × 367¹ × 2¹ × 157¹ × 263¹
LCM(82575,82582) = 6819208650