What is the Least Common Multiple of 23241 and 23259?

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 23241 and 23259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23241 and 23259, than apply into the LCM equation.

GCF(23241,23259) = 3
LCM(23241,23259) = ( 23241 × 23259) / 3
LCM(23241,23259) = 540562419 / 3
LCM(23241,23259) = 180187473

Least Common Multiple (LCM) of 23241 and 23259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23241 and 23259. First we will calculate the prime factors of 23241 and 23259.

Prime Factorization of 23241

Prime Factorization of 23259

Now multiplying the highest exponent prime factors to calculate the LCM of 23241 and 23259.

LCM(23241,23259) = 3¹ × 61¹ × 127¹ × 7753¹
LCM(23241,23259) = 180187473