What is the Least Common Multiple of 23238 and 23257?

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 23238 and 23257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23238 and 23257, than apply into the LCM equation.

GCF(23238,23257) = 1
LCM(23238,23257) = ( 23238 × 23257) / 1
LCM(23238,23257) = 540446166 / 1
LCM(23238,23257) = 540446166

Least Common Multiple (LCM) of 23238 and 23257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23238 and 23257. First we will calculate the prime factors of 23238 and 23257.

Prime Factorization of 23238

Prime Factorization of 23257

Now multiplying the highest exponent prime factors to calculate the LCM of 23238 and 23257.

LCM(23238,23257) = 2¹ × 3² × 1291¹ × 13¹ × 1789¹
LCM(23238,23257) = 540446166