What is the Least Common Multiple of 99243 and 99249?

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 99243 and 99249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99243 and 99249, than apply into the LCM equation.

GCF(99243,99249) = 3
LCM(99243,99249) = ( 99243 × 99249) / 3
LCM(99243,99249) = 9849768507 / 3
LCM(99243,99249) = 3283256169

Least Common Multiple (LCM) of 99243 and 99249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99243 and 99249. First we will calculate the prime factors of 99243 and 99249.

Prime Factorization of 99243

Prime Factorization of 99249

Now multiplying the highest exponent prime factors to calculate the LCM of 99243 and 99249.

LCM(99243,99249) = 3² × 11027¹ × 33083¹
LCM(99243,99249) = 3283256169