What is the Least Common Multiple of 99441 and 99449?

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 99449 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 99449, than apply into the LCM equation.

GCF(99441,99449) = 1
LCM(99441,99449) = ( 99441 × 99449) / 1
LCM(99441,99449) = 9889308009 / 1
LCM(99441,99449) = 9889308009

Least Common Multiple (LCM) of 99441 and 99449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99441 and 99449. First we will calculate the prime factors of 99441 and 99449.

Prime Factorization of 99441

Prime Factorization of 99449

Now multiplying the highest exponent prime factors to calculate the LCM of 99441 and 99449.

LCM(99441,99449) = 3³ × 29¹ × 127¹ × 7¹ × 14207¹
LCM(99441,99449) = 9889308009