What is the Least Common Multiple of 96801 and 96816?

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 96801 and 96816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96801 and 96816, than apply into the LCM equation.

GCF(96801,96816) = 3
LCM(96801,96816) = ( 96801 × 96816) / 3
LCM(96801,96816) = 9371885616 / 3
LCM(96801,96816) = 3123961872

Least Common Multiple (LCM) of 96801 and 96816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96801 and 96816. First we will calculate the prime factors of 96801 and 96816.

Prime Factorization of 96801

Prime Factorization of 96816

Now multiplying the highest exponent prime factors to calculate the LCM of 96801 and 96816.

LCM(96801,96816) = 3¹ × 41¹ × 787¹ × 2⁴ × 2017¹
LCM(96801,96816) = 3123961872