What is the Least Common Multiple of 99909 and 99924?

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 99909 and 99924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99909 and 99924, than apply into the LCM equation.

GCF(99909,99924) = 3
LCM(99909,99924) = ( 99909 × 99924) / 3
LCM(99909,99924) = 9983306916 / 3
LCM(99909,99924) = 3327768972

Least Common Multiple (LCM) of 99909 and 99924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99909 and 99924. First we will calculate the prime factors of 99909 and 99924.

Prime Factorization of 99909

Prime Factorization of 99924

Now multiplying the highest exponent prime factors to calculate the LCM of 99909 and 99924.

LCM(99909,99924) = 3² × 17¹ × 653¹ × 2² × 11¹ × 757¹
LCM(99909,99924) = 3327768972