What is the Least Common Multiple of 75582 and 75599?

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 75582 and 75599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75582 and 75599, than apply into the LCM equation.

GCF(75582,75599) = 17
LCM(75582,75599) = ( 75582 × 75599) / 17
LCM(75582,75599) = 5713923618 / 17
LCM(75582,75599) = 336113154

Least Common Multiple (LCM) of 75582 and 75599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75582 and 75599. First we will calculate the prime factors of 75582 and 75599.

Prime Factorization of 75582

Prime Factorization of 75599

Now multiplying the highest exponent prime factors to calculate the LCM of 75582 and 75599.

LCM(75582,75599) = 2¹ × 3² × 13¹ × 17¹ × 19¹ × 4447¹
LCM(75582,75599) = 336113154