What is the Least Common Multiple of 96524 and 96530?

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 96524 and 96530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96524 and 96530, than apply into the LCM equation.

GCF(96524,96530) = 2
LCM(96524,96530) = ( 96524 × 96530) / 2
LCM(96524,96530) = 9317461720 / 2
LCM(96524,96530) = 4658730860

Least Common Multiple (LCM) of 96524 and 96530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96524 and 96530. First we will calculate the prime factors of 96524 and 96530.

Prime Factorization of 96524

Prime Factorization of 96530

Now multiplying the highest exponent prime factors to calculate the LCM of 96524 and 96530.

LCM(96524,96530) = 2² × 59¹ × 409¹ × 5¹ × 7² × 197¹
LCM(96524,96530) = 4658730860