What is the Least Common Multiple of 99225 and 99245?

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 99225 and 99245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99225 and 99245, than apply into the LCM equation.

GCF(99225,99245) = 5
LCM(99225,99245) = ( 99225 × 99245) / 5
LCM(99225,99245) = 9847585125 / 5
LCM(99225,99245) = 1969517025

Least Common Multiple (LCM) of 99225 and 99245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99225 and 99245. First we will calculate the prime factors of 99225 and 99245.

Prime Factorization of 99225

Prime Factorization of 99245

Now multiplying the highest exponent prime factors to calculate the LCM of 99225 and 99245.

LCM(99225,99245) = 3⁴ × 5² × 7² × 23¹ × 863¹
LCM(99225,99245) = 1969517025