What is the Least Common Multiple of 99825 and 99845?

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 99825 and 99845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99825 and 99845, than apply into the LCM equation.

GCF(99825,99845) = 5
LCM(99825,99845) = ( 99825 × 99845) / 5
LCM(99825,99845) = 9967027125 / 5
LCM(99825,99845) = 1993405425

Least Common Multiple (LCM) of 99825 and 99845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99825 and 99845. First we will calculate the prime factors of 99825 and 99845.

Prime Factorization of 99825

Prime Factorization of 99845

Now multiplying the highest exponent prime factors to calculate the LCM of 99825 and 99845.

LCM(99825,99845) = 3¹ × 5² × 11³ × 19¹ × 1051¹
LCM(99825,99845) = 1993405425