What is the Least Common Multiple of 96803 and 96817?

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 96803 and 96817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96803 and 96817, than apply into the LCM equation.

GCF(96803,96817) = 7
LCM(96803,96817) = ( 96803 × 96817) / 7
LCM(96803,96817) = 9372176051 / 7
LCM(96803,96817) = 1338882293

Least Common Multiple (LCM) of 96803 and 96817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96803 and 96817. First we will calculate the prime factors of 96803 and 96817.

Prime Factorization of 96803

Prime Factorization of 96817

Now multiplying the highest exponent prime factors to calculate the LCM of 96803 and 96817.

LCM(96803,96817) = 7¹ × 13829¹ × 13831¹
LCM(96803,96817) = 1338882293