What is the Least Common Multiple of 72269 and 72289?

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 72269 and 72289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72269 and 72289, than apply into the LCM equation.

GCF(72269,72289) = 1
LCM(72269,72289) = ( 72269 × 72289) / 1
LCM(72269,72289) = 5224253741 / 1
LCM(72269,72289) = 5224253741

Least Common Multiple (LCM) of 72269 and 72289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72269 and 72289. First we will calculate the prime factors of 72269 and 72289.

Prime Factorization of 72269

Prime Factorization of 72289

Now multiplying the highest exponent prime factors to calculate the LCM of 72269 and 72289.

LCM(72269,72289) = 72269¹ × 7¹ × 23¹ × 449¹
LCM(72269,72289) = 5224253741