What is the Least Common Multiple of 96516 and 96524?

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 96516 and 96524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96516 and 96524, than apply into the LCM equation.

GCF(96516,96524) = 4
LCM(96516,96524) = ( 96516 × 96524) / 4
LCM(96516,96524) = 9316110384 / 4
LCM(96516,96524) = 2329027596

Least Common Multiple (LCM) of 96516 and 96524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96516 and 96524. First we will calculate the prime factors of 96516 and 96524.

Prime Factorization of 96516

Prime Factorization of 96524

Now multiplying the highest exponent prime factors to calculate the LCM of 96516 and 96524.

LCM(96516,96524) = 2² × 3² × 7¹ × 383¹ × 59¹ × 409¹
LCM(96516,96524) = 2329027596