What is the Least Common Multiple of 99808 and 99821?

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 99808 and 99821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99808 and 99821, than apply into the LCM equation.

GCF(99808,99821) = 1
LCM(99808,99821) = ( 99808 × 99821) / 1
LCM(99808,99821) = 9962934368 / 1
LCM(99808,99821) = 9962934368

Least Common Multiple (LCM) of 99808 and 99821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99808 and 99821. First we will calculate the prime factors of 99808 and 99821.

Prime Factorization of 99808

Prime Factorization of 99821

Now multiplying the highest exponent prime factors to calculate the LCM of 99808 and 99821.

LCM(99808,99821) = 2⁵ × 3119¹ × 173¹ × 577¹
LCM(99808,99821) = 9962934368