What is the Least Common Multiple of 71580 and 71589?

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 71580 and 71589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71580 and 71589, than apply into the LCM equation.

GCF(71580,71589) = 3
LCM(71580,71589) = ( 71580 × 71589) / 3
LCM(71580,71589) = 5124340620 / 3
LCM(71580,71589) = 1708113540

Least Common Multiple (LCM) of 71580 and 71589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71580 and 71589. First we will calculate the prime factors of 71580 and 71589.

Prime Factorization of 71580

Prime Factorization of 71589

Now multiplying the highest exponent prime factors to calculate the LCM of 71580 and 71589.

LCM(71580,71589) = 2² × 3¹ × 5¹ × 1193¹ × 7² × 487¹
LCM(71580,71589) = 1708113540