What is the Least Common Multiple of 99441 and 99459?

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 99441 and 99459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99441 and 99459, than apply into the LCM equation.

GCF(99441,99459) = 9
LCM(99441,99459) = ( 99441 × 99459) / 9
LCM(99441,99459) = 9890302419 / 9
LCM(99441,99459) = 1098922491

Least Common Multiple (LCM) of 99441 and 99459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99441 and 99459. First we will calculate the prime factors of 99441 and 99459.

Prime Factorization of 99441

Prime Factorization of 99459

Now multiplying the highest exponent prime factors to calculate the LCM of 99441 and 99459.

LCM(99441,99459) = 3³ × 29¹ × 127¹ × 43¹ × 257¹
LCM(99441,99459) = 1098922491