What is the Least Common Multiple of 23238 and 23249?

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 23249 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 23249, than apply into the LCM equation.

GCF(23238,23249) = 1
LCM(23238,23249) = ( 23238 × 23249) / 1
LCM(23238,23249) = 540260262 / 1
LCM(23238,23249) = 540260262

Least Common Multiple (LCM) of 23238 and 23249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23238 and 23249. First we will calculate the prime factors of 23238 and 23249.

Prime Factorization of 23238

Prime Factorization of 23249

Now multiplying the highest exponent prime factors to calculate the LCM of 23238 and 23249.

LCM(23238,23249) = 2¹ × 3² × 1291¹ × 67¹ × 347¹
LCM(23238,23249) = 540260262