What is the Least Common Multiple of 71769 and 71775?

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 71769 and 71775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71769 and 71775, than apply into the LCM equation.

GCF(71769,71775) = 3
LCM(71769,71775) = ( 71769 × 71775) / 3
LCM(71769,71775) = 5151219975 / 3
LCM(71769,71775) = 1717073325

Least Common Multiple (LCM) of 71769 and 71775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71769 and 71775. First we will calculate the prime factors of 71769 and 71775.

Prime Factorization of 71769

Prime Factorization of 71775

Now multiplying the highest exponent prime factors to calculate the LCM of 71769 and 71775.

LCM(71769,71775) = 3² × 47¹ × 509¹ × 5² × 11¹ × 29¹
LCM(71769,71775) = 1717073325