What is the Least Common Multiple of 96326 and 96332?

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 96326 and 96332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96326 and 96332, than apply into the LCM equation.

GCF(96326,96332) = 2
LCM(96326,96332) = ( 96326 × 96332) / 2
LCM(96326,96332) = 9279276232 / 2
LCM(96326,96332) = 4639638116

Least Common Multiple (LCM) of 96326 and 96332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96326 and 96332. First we will calculate the prime factors of 96326 and 96332.

Prime Factorization of 96326

Prime Factorization of 96332

Now multiplying the highest exponent prime factors to calculate the LCM of 96326 and 96332.

LCM(96326,96332) = 2² × 48163¹ × 24083¹
LCM(96326,96332) = 4639638116