What is the Least Common Multiple of 88587 and 88591?

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 88587 and 88591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88587 and 88591, than apply into the LCM equation.

GCF(88587,88591) = 1
LCM(88587,88591) = ( 88587 × 88591) / 1
LCM(88587,88591) = 7848010917 / 1
LCM(88587,88591) = 7848010917

Least Common Multiple (LCM) of 88587 and 88591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88587 and 88591. First we will calculate the prime factors of 88587 and 88591.

Prime Factorization of 88587

Prime Factorization of 88591

Now multiplying the highest exponent prime factors to calculate the LCM of 88587 and 88591.

LCM(88587,88591) = 3³ × 17¹ × 193¹ × 88591¹
LCM(88587,88591) = 7848010917