What is the Least Common Multiple of 76565 and 76582?

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 76565 and 76582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76565 and 76582, than apply into the LCM equation.

GCF(76565,76582) = 1
LCM(76565,76582) = ( 76565 × 76582) / 1
LCM(76565,76582) = 5863500830 / 1
LCM(76565,76582) = 5863500830

Least Common Multiple (LCM) of 76565 and 76582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76565 and 76582. First we will calculate the prime factors of 76565 and 76582.

Prime Factorization of 76565

Prime Factorization of 76582

Now multiplying the highest exponent prime factors to calculate the LCM of 76565 and 76582.

LCM(76565,76582) = 5¹ × 15313¹ × 2¹ × 11¹ × 59²
LCM(76565,76582) = 5863500830