What is the Least Common Multiple of 72716 and 72729?

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 72716 and 72729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72716 and 72729, than apply into the LCM equation.

GCF(72716,72729) = 1
LCM(72716,72729) = ( 72716 × 72729) / 1
LCM(72716,72729) = 5288561964 / 1
LCM(72716,72729) = 5288561964

Least Common Multiple (LCM) of 72716 and 72729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72716 and 72729. First we will calculate the prime factors of 72716 and 72729.

Prime Factorization of 72716

Prime Factorization of 72729

Now multiplying the highest exponent prime factors to calculate the LCM of 72716 and 72729.

LCM(72716,72729) = 2² × 7³ × 53¹ × 3² × 8081¹
LCM(72716,72729) = 5288561964