What is the Least Common Multiple of 99225 and 99243?

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 99243 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 99243, than apply into the LCM equation.

GCF(99225,99243) = 9
LCM(99225,99243) = ( 99225 × 99243) / 9
LCM(99225,99243) = 9847386675 / 9
LCM(99225,99243) = 1094154075

Least Common Multiple (LCM) of 99225 and 99243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99225 and 99243. First we will calculate the prime factors of 99225 and 99243.

Prime Factorization of 99225

Prime Factorization of 99243

Now multiplying the highest exponent prime factors to calculate the LCM of 99225 and 99243.

LCM(99225,99243) = 3⁴ × 5² × 7² × 11027¹
LCM(99225,99243) = 1094154075