What is the Least Common Multiple of 72729 and 72745?

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 72729 and 72745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72729 and 72745, than apply into the LCM equation.

GCF(72729,72745) = 1
LCM(72729,72745) = ( 72729 × 72745) / 1
LCM(72729,72745) = 5290671105 / 1
LCM(72729,72745) = 5290671105

Least Common Multiple (LCM) of 72729 and 72745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72729 and 72745. First we will calculate the prime factors of 72729 and 72745.

Prime Factorization of 72729

Prime Factorization of 72745

Now multiplying the highest exponent prime factors to calculate the LCM of 72729 and 72745.

LCM(72729,72745) = 3² × 8081¹ × 5¹ × 14549¹
LCM(72729,72745) = 5290671105