What is the Least Common Multiple of 96505 and 96523?

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 96505 and 96523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96505 and 96523, than apply into the LCM equation.

GCF(96505,96523) = 1
LCM(96505,96523) = ( 96505 × 96523) / 1
LCM(96505,96523) = 9314952115 / 1
LCM(96505,96523) = 9314952115

Least Common Multiple (LCM) of 96505 and 96523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96505 and 96523. First we will calculate the prime factors of 96505 and 96523.

Prime Factorization of 96505

Prime Factorization of 96523

Now multiplying the highest exponent prime factors to calculate the LCM of 96505 and 96523.

LCM(96505,96523) = 5¹ × 19301¹ × 7¹ × 13789¹
LCM(96505,96523) = 9314952115