What is the Least Common Multiple of 96705 and 96717?

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 96705 and 96717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96705 and 96717, than apply into the LCM equation.

GCF(96705,96717) = 3
LCM(96705,96717) = ( 96705 × 96717) / 3
LCM(96705,96717) = 9353017485 / 3
LCM(96705,96717) = 3117672495

Least Common Multiple (LCM) of 96705 and 96717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96705 and 96717. First we will calculate the prime factors of 96705 and 96717.

Prime Factorization of 96705

Prime Factorization of 96717

Now multiplying the highest exponent prime factors to calculate the LCM of 96705 and 96717.

LCM(96705,96717) = 3² × 5¹ × 7¹ × 307¹ × 103¹ × 313¹
LCM(96705,96717) = 3117672495