What is the Least Common Multiple of 99810 and 99825?

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 99810 and 99825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99810 and 99825, than apply into the LCM equation.

GCF(99810,99825) = 15
LCM(99810,99825) = ( 99810 × 99825) / 15
LCM(99810,99825) = 9963533250 / 15
LCM(99810,99825) = 664235550

Least Common Multiple (LCM) of 99810 and 99825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99810 and 99825. First we will calculate the prime factors of 99810 and 99825.

Prime Factorization of 99810

Prime Factorization of 99825

Now multiplying the highest exponent prime factors to calculate the LCM of 99810 and 99825.

LCM(99810,99825) = 2¹ × 3² × 5² × 1109¹ × 11³
LCM(99810,99825) = 664235550