What is the Least Common Multiple of 96793 and 96803?

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 96793 and 96803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96793 and 96803, than apply into the LCM equation.

GCF(96793,96803) = 1
LCM(96793,96803) = ( 96793 × 96803) / 1
LCM(96793,96803) = 9369852779 / 1
LCM(96793,96803) = 9369852779

Least Common Multiple (LCM) of 96793 and 96803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96793 and 96803. First we will calculate the prime factors of 96793 and 96803.

Prime Factorization of 96793

Prime Factorization of 96803

Now multiplying the highest exponent prime factors to calculate the LCM of 96793 and 96803.

LCM(96793,96803) = 43¹ × 2251¹ × 7¹ × 13829¹
LCM(96793,96803) = 9369852779