What is the Least Common Multiple of 21574 and 21591?

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 21574 and 21591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21574 and 21591, than apply into the LCM equation.

GCF(21574,21591) = 1
LCM(21574,21591) = ( 21574 × 21591) / 1
LCM(21574,21591) = 465804234 / 1
LCM(21574,21591) = 465804234

Least Common Multiple (LCM) of 21574 and 21591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21574 and 21591. First we will calculate the prime factors of 21574 and 21591.

Prime Factorization of 21574

Prime Factorization of 21591

Now multiplying the highest exponent prime factors to calculate the LCM of 21574 and 21591.

LCM(21574,21591) = 2¹ × 7¹ × 23¹ × 67¹ × 3² × 2399¹
LCM(21574,21591) = 465804234