What is the Least Common Multiple of 99449 and 99464?

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 99449 and 99464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99449 and 99464, than apply into the LCM equation.

GCF(99449,99464) = 1
LCM(99449,99464) = ( 99449 × 99464) / 1
LCM(99449,99464) = 9891595336 / 1
LCM(99449,99464) = 9891595336

Least Common Multiple (LCM) of 99449 and 99464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99449 and 99464. First we will calculate the prime factors of 99449 and 99464.

Prime Factorization of 99449

Prime Factorization of 99464

Now multiplying the highest exponent prime factors to calculate the LCM of 99449 and 99464.

LCM(99449,99464) = 7¹ × 14207¹ × 2³ × 12433¹
LCM(99449,99464) = 9891595336