What is the Least Common Multiple of 72713 and 72732?

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 72713 and 72732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72713 and 72732, than apply into the LCM equation.

GCF(72713,72732) = 19
LCM(72713,72732) = ( 72713 × 72732) / 19
LCM(72713,72732) = 5288561916 / 19
LCM(72713,72732) = 278345364

Least Common Multiple (LCM) of 72713 and 72732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72713 and 72732. First we will calculate the prime factors of 72713 and 72732.

Prime Factorization of 72713

Prime Factorization of 72732

Now multiplying the highest exponent prime factors to calculate the LCM of 72713 and 72732.

LCM(72713,72732) = 19¹ × 43¹ × 89¹ × 2² × 3¹ × 11¹ × 29¹
LCM(72713,72732) = 278345364