What is the Least Common Multiple of 99567 and 99578?

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 99567 and 99578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99567 and 99578, than apply into the LCM equation.

GCF(99567,99578) = 1
LCM(99567,99578) = ( 99567 × 99578) / 1
LCM(99567,99578) = 9914682726 / 1
LCM(99567,99578) = 9914682726

Least Common Multiple (LCM) of 99567 and 99578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99567 and 99578. First we will calculate the prime factors of 99567 and 99578.

Prime Factorization of 99567

Prime Factorization of 99578

Now multiplying the highest exponent prime factors to calculate the LCM of 99567 and 99578.

LCM(99567,99578) = 3² × 13¹ × 23¹ × 37¹ × 2¹ × 49789¹
LCM(99567,99578) = 9914682726