What is the Least Common Multiple of 96816 and 96832?

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 96816 and 96832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96816 and 96832, than apply into the LCM equation.

GCF(96816,96832) = 16
LCM(96816,96832) = ( 96816 × 96832) / 16
LCM(96816,96832) = 9374886912 / 16
LCM(96816,96832) = 585930432

Least Common Multiple (LCM) of 96816 and 96832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96816 and 96832. First we will calculate the prime factors of 96816 and 96832.

Prime Factorization of 96816

Prime Factorization of 96832

Now multiplying the highest exponent prime factors to calculate the LCM of 96816 and 96832.

LCM(96816,96832) = 2⁶ × 3¹ × 2017¹ × 17¹ × 89¹
LCM(96816,96832) = 585930432