What is the Least Common Multiple of 86562 and 86582?

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 86562 and 86582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86562 and 86582, than apply into the LCM equation.

GCF(86562,86582) = 2
LCM(86562,86582) = ( 86562 × 86582) / 2
LCM(86562,86582) = 7494711084 / 2
LCM(86562,86582) = 3747355542

Least Common Multiple (LCM) of 86562 and 86582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86562 and 86582. First we will calculate the prime factors of 86562 and 86582.

Prime Factorization of 86562

Prime Factorization of 86582

Now multiplying the highest exponent prime factors to calculate the LCM of 86562 and 86582.

LCM(86562,86582) = 2¹ × 3³ × 7¹ × 229¹ × 43291¹
LCM(86562,86582) = 3747355542