What is the Least Common Multiple of 21584 and 21588?

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 21588 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 21588, than apply into the LCM equation.

GCF(21584,21588) = 4
LCM(21584,21588) = ( 21584 × 21588) / 4
LCM(21584,21588) = 465955392 / 4
LCM(21584,21588) = 116488848

Least Common Multiple (LCM) of 21584 and 21588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21584 and 21588. First we will calculate the prime factors of 21584 and 21588.

Prime Factorization of 21584

Prime Factorization of 21588

Now multiplying the highest exponent prime factors to calculate the LCM of 21584 and 21588.

LCM(21584,21588) = 2⁴ × 19¹ × 71¹ × 3¹ × 7¹ × 257¹
LCM(21584,21588) = 116488848