What is the Least Common Multiple of 99504 and 99509?

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 99509 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 99509, than apply into the LCM equation.

GCF(99504,99509) = 1
LCM(99504,99509) = ( 99504 × 99509) / 1
LCM(99504,99509) = 9901543536 / 1
LCM(99504,99509) = 9901543536

Least Common Multiple (LCM) of 99504 and 99509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99504 and 99509. First we will calculate the prime factors of 99504 and 99509.

Prime Factorization of 99504

Prime Factorization of 99509

Now multiplying the highest exponent prime factors to calculate the LCM of 99504 and 99509.

LCM(99504,99509) = 2⁴ × 3² × 691¹ × 151¹ × 659¹
LCM(99504,99509) = 9901543536