What is the Least Common Multiple of 80575 and 80582?

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 80575 and 80582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80575 and 80582, than apply into the LCM equation.

GCF(80575,80582) = 1
LCM(80575,80582) = ( 80575 × 80582) / 1
LCM(80575,80582) = 6492894650 / 1
LCM(80575,80582) = 6492894650

Least Common Multiple (LCM) of 80575 and 80582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80575 and 80582. First we will calculate the prime factors of 80575 and 80582.

Prime Factorization of 80575

Prime Factorization of 80582

Now multiplying the highest exponent prime factors to calculate the LCM of 80575 and 80582.

LCM(80575,80582) = 5² × 11¹ × 293¹ × 2¹ × 43¹ × 937¹
LCM(80575,80582) = 6492894650