What is the Least Common Multiple of 99688 and 99700?

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 99688 and 99700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99688 and 99700, than apply into the LCM equation.

GCF(99688,99700) = 4
LCM(99688,99700) = ( 99688 × 99700) / 4
LCM(99688,99700) = 9938893600 / 4
LCM(99688,99700) = 2484723400

Least Common Multiple (LCM) of 99688 and 99700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99688 and 99700. First we will calculate the prime factors of 99688 and 99700.

Prime Factorization of 99688

Prime Factorization of 99700

Now multiplying the highest exponent prime factors to calculate the LCM of 99688 and 99700.

LCM(99688,99700) = 2³ × 17¹ × 733¹ × 5² × 997¹
LCM(99688,99700) = 2484723400