What is the Least Common Multiple of 96714 and 96720?

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 96714 and 96720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96714 and 96720, than apply into the LCM equation.

GCF(96714,96720) = 6
LCM(96714,96720) = ( 96714 × 96720) / 6
LCM(96714,96720) = 9354178080 / 6
LCM(96714,96720) = 1559029680

Least Common Multiple (LCM) of 96714 and 96720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96714 and 96720. First we will calculate the prime factors of 96714 and 96720.

Prime Factorization of 96714

Prime Factorization of 96720

Now multiplying the highest exponent prime factors to calculate the LCM of 96714 and 96720.

LCM(96714,96720) = 2⁴ × 3⁵ × 199¹ × 5¹ × 13¹ × 31¹
LCM(96714,96720) = 1559029680