What is the Least Common Multiple of 96768 and 96784?

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 96768 and 96784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96768 and 96784, than apply into the LCM equation.

GCF(96768,96784) = 16
LCM(96768,96784) = ( 96768 × 96784) / 16
LCM(96768,96784) = 9365594112 / 16
LCM(96768,96784) = 585349632

Least Common Multiple (LCM) of 96768 and 96784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96768 and 96784. First we will calculate the prime factors of 96768 and 96784.

Prime Factorization of 96768

Prime Factorization of 96784

Now multiplying the highest exponent prime factors to calculate the LCM of 96768 and 96784.

LCM(96768,96784) = 2⁹ × 3³ × 7¹ × 23¹ × 263¹
LCM(96768,96784) = 585349632