What is the Least Common Multiple of 98565 and 98582?

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 98565 and 98582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98565 and 98582, than apply into the LCM equation.

GCF(98565,98582) = 1
LCM(98565,98582) = ( 98565 × 98582) / 1
LCM(98565,98582) = 9716734830 / 1
LCM(98565,98582) = 9716734830

Least Common Multiple (LCM) of 98565 and 98582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98565 and 98582. First we will calculate the prime factors of 98565 and 98582.

Prime Factorization of 98565

Prime Factorization of 98582

Now multiplying the highest exponent prime factors to calculate the LCM of 98565 and 98582.

LCM(98565,98582) = 3¹ × 5¹ × 6571¹ × 2¹ × 11¹ × 4481¹
LCM(98565,98582) = 9716734830