What is the Least Common Multiple of 93564 and 93584?

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 93564 and 93584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93564 and 93584, than apply into the LCM equation.

GCF(93564,93584) = 4
LCM(93564,93584) = ( 93564 × 93584) / 4
LCM(93564,93584) = 8756093376 / 4
LCM(93564,93584) = 2189023344

Least Common Multiple (LCM) of 93564 and 93584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93564 and 93584. First we will calculate the prime factors of 93564 and 93584.

Prime Factorization of 93564

Prime Factorization of 93584

Now multiplying the highest exponent prime factors to calculate the LCM of 93564 and 93584.

LCM(93564,93584) = 2⁴ × 3² × 23¹ × 113¹ × 5849¹
LCM(93564,93584) = 2189023344