What is the Least Common Multiple of 72719 and 72731?

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 72719 and 72731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72719 and 72731, than apply into the LCM equation.

GCF(72719,72731) = 1
LCM(72719,72731) = ( 72719 × 72731) / 1
LCM(72719,72731) = 5288925589 / 1
LCM(72719,72731) = 5288925589

Least Common Multiple (LCM) of 72719 and 72731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72719 and 72731. First we will calculate the prime factors of 72719 and 72731.

Prime Factorization of 72719

Prime Factorization of 72731

Now multiplying the highest exponent prime factors to calculate the LCM of 72719 and 72731.

LCM(72719,72731) = 72719¹ × 257¹ × 283¹
LCM(72719,72731) = 5288925589