What is the Least Common Multiple of 23253 and 23271?

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 23253 and 23271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23253 and 23271, than apply into the LCM equation.

GCF(23253,23271) = 3
LCM(23253,23271) = ( 23253 × 23271) / 3
LCM(23253,23271) = 541120563 / 3
LCM(23253,23271) = 180373521

Least Common Multiple (LCM) of 23253 and 23271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23253 and 23271. First we will calculate the prime factors of 23253 and 23271.

Prime Factorization of 23253

Prime Factorization of 23271

Now multiplying the highest exponent prime factors to calculate the LCM of 23253 and 23271.

LCM(23253,23271) = 3¹ × 23¹ × 337¹ × 7757¹
LCM(23253,23271) = 180373521