What is the Least Common Multiple of 96793 and 96799?

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 96799 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 96799, than apply into the LCM equation.

GCF(96793,96799) = 1
LCM(96793,96799) = ( 96793 × 96799) / 1
LCM(96793,96799) = 9369465607 / 1
LCM(96793,96799) = 9369465607

Least Common Multiple (LCM) of 96793 and 96799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96793 and 96799. First we will calculate the prime factors of 96793 and 96799.

Prime Factorization of 96793

Prime Factorization of 96799

Now multiplying the highest exponent prime factors to calculate the LCM of 96793 and 96799.

LCM(96793,96799) = 43¹ × 2251¹ × 96799¹
LCM(96793,96799) = 9369465607