What is the Least Common Multiple of 19580 and 19591?

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 19580 and 19591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19580 and 19591, than apply into the LCM equation.

GCF(19580,19591) = 11
LCM(19580,19591) = ( 19580 × 19591) / 11
LCM(19580,19591) = 383591780 / 11
LCM(19580,19591) = 34871980

Least Common Multiple (LCM) of 19580 and 19591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19580 and 19591. First we will calculate the prime factors of 19580 and 19591.

Prime Factorization of 19580

Prime Factorization of 19591

Now multiplying the highest exponent prime factors to calculate the LCM of 19580 and 19591.

LCM(19580,19591) = 2² × 5¹ × 11¹ × 89¹ × 13¹ × 137¹
LCM(19580,19591) = 34871980