What is the Least Common Multiple of 99900 and 99910?

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 99900 and 99910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99900 and 99910, than apply into the LCM equation.

GCF(99900,99910) = 10
LCM(99900,99910) = ( 99900 × 99910) / 10
LCM(99900,99910) = 9981009000 / 10
LCM(99900,99910) = 998100900

Least Common Multiple (LCM) of 99900 and 99910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99900 and 99910. First we will calculate the prime factors of 99900 and 99910.

Prime Factorization of 99900

Prime Factorization of 99910

Now multiplying the highest exponent prime factors to calculate the LCM of 99900 and 99910.

LCM(99900,99910) = 2² × 3³ × 5² × 37¹ × 97¹ × 103¹
LCM(99900,99910) = 998100900