What is the Least Common Multiple of 91565 and 91582?

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 91565 and 91582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91565 and 91582, than apply into the LCM equation.

GCF(91565,91582) = 1
LCM(91565,91582) = ( 91565 × 91582) / 1
LCM(91565,91582) = 8385705830 / 1
LCM(91565,91582) = 8385705830

Least Common Multiple (LCM) of 91565 and 91582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91565 and 91582. First we will calculate the prime factors of 91565 and 91582.

Prime Factorization of 91565

Prime Factorization of 91582

Now multiplying the highest exponent prime factors to calculate the LCM of 91565 and 91582.

LCM(91565,91582) = 5¹ × 18313¹ × 2¹ × 29¹ × 1579¹
LCM(91565,91582) = 8385705830