What is the Least Common Multiple of 75582 and 75601?

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 75601 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 75601, than apply into the LCM equation.

GCF(75582,75601) = 19
LCM(75582,75601) = ( 75582 × 75601) / 19
LCM(75582,75601) = 5714074782 / 19
LCM(75582,75601) = 300740778

Least Common Multiple (LCM) of 75582 and 75601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75582 and 75601. First we will calculate the prime factors of 75582 and 75601.

Prime Factorization of 75582

Prime Factorization of 75601

Now multiplying the highest exponent prime factors to calculate the LCM of 75582 and 75601.

LCM(75582,75601) = 2¹ × 3² × 13¹ × 17¹ × 19¹ × 23¹ × 173¹
LCM(75582,75601) = 300740778