What is the Least Common Multiple of 75589 and 75609?

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 75589 and 75609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75589 and 75609, than apply into the LCM equation.

GCF(75589,75609) = 1
LCM(75589,75609) = ( 75589 × 75609) / 1
LCM(75589,75609) = 5715208701 / 1
LCM(75589,75609) = 5715208701

Least Common Multiple (LCM) of 75589 and 75609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75589 and 75609. First we will calculate the prime factors of 75589 and 75609.

Prime Factorization of 75589

Prime Factorization of 75609

Now multiplying the highest exponent prime factors to calculate the LCM of 75589 and 75609.

LCM(75589,75609) = 269¹ × 281¹ × 3² × 31¹ × 271¹
LCM(75589,75609) = 5715208701