What is the Least Common Multiple of 72904 and 72909?

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 72904 and 72909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72904 and 72909, than apply into the LCM equation.

GCF(72904,72909) = 1
LCM(72904,72909) = ( 72904 × 72909) / 1
LCM(72904,72909) = 5315357736 / 1
LCM(72904,72909) = 5315357736

Least Common Multiple (LCM) of 72904 and 72909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72904 and 72909. First we will calculate the prime factors of 72904 and 72909.

Prime Factorization of 72904

Prime Factorization of 72909

Now multiplying the highest exponent prime factors to calculate the LCM of 72904 and 72909.

LCM(72904,72909) = 2³ × 13¹ × 701¹ × 3² × 8101¹
LCM(72904,72909) = 5315357736