What is the Least Common Multiple of 99500 and 99512?

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 99500 and 99512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99500 and 99512, than apply into the LCM equation.

GCF(99500,99512) = 4
LCM(99500,99512) = ( 99500 × 99512) / 4
LCM(99500,99512) = 9901444000 / 4
LCM(99500,99512) = 2475361000

Least Common Multiple (LCM) of 99500 and 99512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99500 and 99512. First we will calculate the prime factors of 99500 and 99512.

Prime Factorization of 99500

Prime Factorization of 99512

Now multiplying the highest exponent prime factors to calculate the LCM of 99500 and 99512.

LCM(99500,99512) = 2³ × 5³ × 199¹ × 7¹ × 1777¹
LCM(99500,99512) = 2475361000