What is the Least Common Multiple of 99459 and 99471?

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 99459 and 99471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99459 and 99471, than apply into the LCM equation.

GCF(99459,99471) = 3
LCM(99459,99471) = ( 99459 × 99471) / 3
LCM(99459,99471) = 9893286189 / 3
LCM(99459,99471) = 3297762063

Least Common Multiple (LCM) of 99459 and 99471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99459 and 99471. First we will calculate the prime factors of 99459 and 99471.

Prime Factorization of 99459

Prime Factorization of 99471

Now multiplying the highest exponent prime factors to calculate the LCM of 99459 and 99471.

LCM(99459,99471) = 3² × 43¹ × 257¹ × 71¹ × 467¹
LCM(99459,99471) = 3297762063