What is the Least Common Multiple of 96801 and 96821?

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 96821 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 96821, than apply into the LCM equation.

GCF(96801,96821) = 1
LCM(96801,96821) = ( 96801 × 96821) / 1
LCM(96801,96821) = 9372369621 / 1
LCM(96801,96821) = 9372369621

Least Common Multiple (LCM) of 96801 and 96821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96801 and 96821. First we will calculate the prime factors of 96801 and 96821.

Prime Factorization of 96801

Prime Factorization of 96821

Now multiplying the highest exponent prime factors to calculate the LCM of 96801 and 96821.

LCM(96801,96821) = 3¹ × 41¹ × 787¹ × 96821¹
LCM(96801,96821) = 9372369621