What is the Least Common Multiple of 99704 and 99721?

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 99704 and 99721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99704 and 99721, than apply into the LCM equation.

GCF(99704,99721) = 1
LCM(99704,99721) = ( 99704 × 99721) / 1
LCM(99704,99721) = 9942582584 / 1
LCM(99704,99721) = 9942582584

Least Common Multiple (LCM) of 99704 and 99721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99704 and 99721. First we will calculate the prime factors of 99704 and 99721.

Prime Factorization of 99704

Prime Factorization of 99721

Now multiplying the highest exponent prime factors to calculate the LCM of 99704 and 99721.

LCM(99704,99721) = 2³ × 11² × 103¹ × 99721¹
LCM(99704,99721) = 9942582584