What is the Least Common Multiple of 96500 and 96512?

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 96500 and 96512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96500 and 96512, than apply into the LCM equation.

GCF(96500,96512) = 4
LCM(96500,96512) = ( 96500 × 96512) / 4
LCM(96500,96512) = 9313408000 / 4
LCM(96500,96512) = 2328352000

Least Common Multiple (LCM) of 96500 and 96512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96500 and 96512. First we will calculate the prime factors of 96500 and 96512.

Prime Factorization of 96500

Prime Factorization of 96512

Now multiplying the highest exponent prime factors to calculate the LCM of 96500 and 96512.

LCM(96500,96512) = 2⁸ × 5³ × 193¹ × 13¹ × 29¹
LCM(96500,96512) = 2328352000