What is the Least Common Multiple of 99504 and 99519?

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 99504 and 99519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99504 and 99519, than apply into the LCM equation.

GCF(99504,99519) = 3
LCM(99504,99519) = ( 99504 × 99519) / 3
LCM(99504,99519) = 9902538576 / 3
LCM(99504,99519) = 3300846192

Least Common Multiple (LCM) of 99504 and 99519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99504 and 99519. First we will calculate the prime factors of 99504 and 99519.

Prime Factorization of 99504

Prime Factorization of 99519

Now multiplying the highest exponent prime factors to calculate the LCM of 99504 and 99519.

LCM(99504,99519) = 2⁴ × 3² × 691¹ × 7² × 677¹
LCM(99504,99519) = 3300846192