What is the Least Common Multiple of 99800 and 99817?

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 99800 and 99817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99800 and 99817, than apply into the LCM equation.

GCF(99800,99817) = 1
LCM(99800,99817) = ( 99800 × 99817) / 1
LCM(99800,99817) = 9961736600 / 1
LCM(99800,99817) = 9961736600

Least Common Multiple (LCM) of 99800 and 99817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99800 and 99817. First we will calculate the prime factors of 99800 and 99817.

Prime Factorization of 99800

Prime Factorization of 99817

Now multiplying the highest exponent prime factors to calculate the LCM of 99800 and 99817.

LCM(99800,99817) = 2³ × 5² × 499¹ × 99817¹
LCM(99800,99817) = 9961736600