What is the Least Common Multiple of 99205 and 99225?

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 99205 and 99225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99205 and 99225, than apply into the LCM equation.

GCF(99205,99225) = 5
LCM(99205,99225) = ( 99205 × 99225) / 5
LCM(99205,99225) = 9843616125 / 5
LCM(99205,99225) = 1968723225

Least Common Multiple (LCM) of 99205 and 99225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99205 and 99225. First we will calculate the prime factors of 99205 and 99225.

Prime Factorization of 99205

Prime Factorization of 99225

Now multiplying the highest exponent prime factors to calculate the LCM of 99205 and 99225.

LCM(99205,99225) = 5² × 19841¹ × 3⁴ × 7²
LCM(99205,99225) = 1968723225