What is the Least Common Multiple of 96523 and 96541?

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 96523 and 96541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96523 and 96541, than apply into the LCM equation.

GCF(96523,96541) = 1
LCM(96523,96541) = ( 96523 × 96541) / 1
LCM(96523,96541) = 9318426943 / 1
LCM(96523,96541) = 9318426943

Least Common Multiple (LCM) of 96523 and 96541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96523 and 96541. First we will calculate the prime factors of 96523 and 96541.

Prime Factorization of 96523

Prime Factorization of 96541

Now multiplying the highest exponent prime factors to calculate the LCM of 96523 and 96541.

LCM(96523,96541) = 7¹ × 13789¹ × 29¹ × 3329¹
LCM(96523,96541) = 9318426943