What is the Least Common Multiple of 32584 and 32588?

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 32584 and 32588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32584 and 32588, than apply into the LCM equation.

GCF(32584,32588) = 4
LCM(32584,32588) = ( 32584 × 32588) / 4
LCM(32584,32588) = 1061847392 / 4
LCM(32584,32588) = 265461848

Least Common Multiple (LCM) of 32584 and 32588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32584 and 32588. First we will calculate the prime factors of 32584 and 32588.

Prime Factorization of 32584

Prime Factorization of 32588

Now multiplying the highest exponent prime factors to calculate the LCM of 32584 and 32588.

LCM(32584,32588) = 2³ × 4073¹ × 8147¹
LCM(32584,32588) = 265461848