What is the Least Common Multiple of 77571 and 77589?

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 77571 and 77589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77571 and 77589, than apply into the LCM equation.

GCF(77571,77589) = 9
LCM(77571,77589) = ( 77571 × 77589) / 9
LCM(77571,77589) = 6018656319 / 9
LCM(77571,77589) = 668739591

Least Common Multiple (LCM) of 77571 and 77589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77571 and 77589. First we will calculate the prime factors of 77571 and 77589.

Prime Factorization of 77571

Prime Factorization of 77589

Now multiplying the highest exponent prime factors to calculate the LCM of 77571 and 77589.

LCM(77571,77589) = 3³ × 13² × 17¹ × 37¹ × 233¹
LCM(77571,77589) = 668739591