What is the Least Common Multiple of 99564 and 99569?

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 99564 and 99569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99564 and 99569, than apply into the LCM equation.

GCF(99564,99569) = 1
LCM(99564,99569) = ( 99564 × 99569) / 1
LCM(99564,99569) = 9913487916 / 1
LCM(99564,99569) = 9913487916

Least Common Multiple (LCM) of 99564 and 99569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99564 and 99569. First we will calculate the prime factors of 99564 and 99569.

Prime Factorization of 99564

Prime Factorization of 99569

Now multiplying the highest exponent prime factors to calculate the LCM of 99564 and 99569.

LCM(99564,99569) = 2² × 3¹ × 8297¹ × 17¹ × 5857¹
LCM(99564,99569) = 9913487916