What is the Least Common Multiple of 99569 and 99577?

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 99569 and 99577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99569 and 99577, than apply into the LCM equation.

GCF(99569,99577) = 1
LCM(99569,99577) = ( 99569 × 99577) / 1
LCM(99569,99577) = 9914782313 / 1
LCM(99569,99577) = 9914782313

Least Common Multiple (LCM) of 99569 and 99577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99569 and 99577. First we will calculate the prime factors of 99569 and 99577.

Prime Factorization of 99569

Prime Factorization of 99577

Now multiplying the highest exponent prime factors to calculate the LCM of 99569 and 99577.

LCM(99569,99577) = 17¹ × 5857¹ × 99577¹
LCM(99569,99577) = 9914782313