What is the Least Common Multiple of 76584 and 76600?

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 76584 and 76600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76584 and 76600, than apply into the LCM equation.

GCF(76584,76600) = 8
LCM(76584,76600) = ( 76584 × 76600) / 8
LCM(76584,76600) = 5866334400 / 8
LCM(76584,76600) = 733291800

Least Common Multiple (LCM) of 76584 and 76600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76584 and 76600. First we will calculate the prime factors of 76584 and 76600.

Prime Factorization of 76584

Prime Factorization of 76600

Now multiplying the highest exponent prime factors to calculate the LCM of 76584 and 76600.

LCM(76584,76600) = 2³ × 3¹ × 3191¹ × 5² × 383¹
LCM(76584,76600) = 733291800