What is the Least Common Multiple of 92584 and 92592?

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 92584 and 92592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92584 and 92592, than apply into the LCM equation.

GCF(92584,92592) = 8
LCM(92584,92592) = ( 92584 × 92592) / 8
LCM(92584,92592) = 8572537728 / 8
LCM(92584,92592) = 1071567216

Least Common Multiple (LCM) of 92584 and 92592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92584 and 92592. First we will calculate the prime factors of 92584 and 92592.

Prime Factorization of 92584

Prime Factorization of 92592

Now multiplying the highest exponent prime factors to calculate the LCM of 92584 and 92592.

LCM(92584,92592) = 2⁴ × 71¹ × 163¹ × 3² × 643¹
LCM(92584,92592) = 1071567216