What is the Least Common Multiple of 21584 and 21594?

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 21584 and 21594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21584 and 21594, than apply into the LCM equation.

GCF(21584,21594) = 2
LCM(21584,21594) = ( 21584 × 21594) / 2
LCM(21584,21594) = 466084896 / 2
LCM(21584,21594) = 233042448

Least Common Multiple (LCM) of 21584 and 21594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21584 and 21594. First we will calculate the prime factors of 21584 and 21594.

Prime Factorization of 21584

Prime Factorization of 21594

Now multiplying the highest exponent prime factors to calculate the LCM of 21584 and 21594.

LCM(21584,21594) = 2⁴ × 19¹ × 71¹ × 3¹ × 59¹ × 61¹
LCM(21584,21594) = 233042448