What is the Least Common Multiple of 72219 and 72231?

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 72219 and 72231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72219 and 72231, than apply into the LCM equation.

GCF(72219,72231) = 3
LCM(72219,72231) = ( 72219 × 72231) / 3
LCM(72219,72231) = 5216450589 / 3
LCM(72219,72231) = 1738816863

Least Common Multiple (LCM) of 72219 and 72231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72219 and 72231. First we will calculate the prime factors of 72219 and 72231.

Prime Factorization of 72219

Prime Factorization of 72231

Now multiplying the highest exponent prime factors to calculate the LCM of 72219 and 72231.

LCM(72219,72231) = 3¹ × 7¹ × 19¹ × 181¹ × 24077¹
LCM(72219,72231) = 1738816863