What is the Least Common Multiple of 99884 and 99899?

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 99884 and 99899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99884 and 99899, than apply into the LCM equation.

GCF(99884,99899) = 1
LCM(99884,99899) = ( 99884 × 99899) / 1
LCM(99884,99899) = 9978311716 / 1
LCM(99884,99899) = 9978311716

Least Common Multiple (LCM) of 99884 and 99899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99884 and 99899. First we will calculate the prime factors of 99884 and 99899.

Prime Factorization of 99884

Prime Factorization of 99899

Now multiplying the highest exponent prime factors to calculate the LCM of 99884 and 99899.

LCM(99884,99899) = 2² × 24971¹ × 283¹ × 353¹
LCM(99884,99899) = 9978311716