What is the Least Common Multiple of 96516 and 96534?

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 96534 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 96534, than apply into the LCM equation.

GCF(96516,96534) = 18
LCM(96516,96534) = ( 96516 × 96534) / 18
LCM(96516,96534) = 9317075544 / 18
LCM(96516,96534) = 517615308

Least Common Multiple (LCM) of 96516 and 96534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96516 and 96534. First we will calculate the prime factors of 96516 and 96534.

Prime Factorization of 96516

Prime Factorization of 96534

Now multiplying the highest exponent prime factors to calculate the LCM of 96516 and 96534.

LCM(96516,96534) = 2² × 3² × 7¹ × 383¹ × 31¹ × 173¹
LCM(96516,96534) = 517615308