What is the Least Common Multiple of 87584 and 87588?

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 87584 and 87588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87584 and 87588, than apply into the LCM equation.

GCF(87584,87588) = 4
LCM(87584,87588) = ( 87584 × 87588) / 4
LCM(87584,87588) = 7671307392 / 4
LCM(87584,87588) = 1917826848

Least Common Multiple (LCM) of 87584 and 87588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87584 and 87588. First we will calculate the prime factors of 87584 and 87588.

Prime Factorization of 87584

Prime Factorization of 87588

Now multiplying the highest exponent prime factors to calculate the LCM of 87584 and 87588.

LCM(87584,87588) = 2⁵ × 7¹ × 17¹ × 23¹ × 3³ × 811¹
LCM(87584,87588) = 1917826848