What is the Least Common Multiple of 96784 and 96800?

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 96784 and 96800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96784 and 96800, than apply into the LCM equation.

GCF(96784,96800) = 16
LCM(96784,96800) = ( 96784 × 96800) / 16
LCM(96784,96800) = 9368691200 / 16
LCM(96784,96800) = 585543200

Least Common Multiple (LCM) of 96784 and 96800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96784 and 96800. First we will calculate the prime factors of 96784 and 96800.

Prime Factorization of 96784

Prime Factorization of 96800

Now multiplying the highest exponent prime factors to calculate the LCM of 96784 and 96800.

LCM(96784,96800) = 2⁵ × 23¹ × 263¹ × 5² × 11²
LCM(96784,96800) = 585543200