What is the Least Common Multiple of 72319 and 72331?

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 72319 and 72331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72319 and 72331, than apply into the LCM equation.

GCF(72319,72331) = 1
LCM(72319,72331) = ( 72319 × 72331) / 1
LCM(72319,72331) = 5230905589 / 1
LCM(72319,72331) = 5230905589

Least Common Multiple (LCM) of 72319 and 72331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72319 and 72331. First we will calculate the prime factors of 72319 and 72331.

Prime Factorization of 72319

Prime Factorization of 72331

Now multiplying the highest exponent prime factors to calculate the LCM of 72319 and 72331.

LCM(72319,72331) = 13¹ × 5563¹ × 7¹ × 10333¹
LCM(72319,72331) = 5230905589