What is the Least Common Multiple of 23218 and 23238?

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 23218 and 23238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23218 and 23238, than apply into the LCM equation.

GCF(23218,23238) = 2
LCM(23218,23238) = ( 23218 × 23238) / 2
LCM(23218,23238) = 539539884 / 2
LCM(23218,23238) = 269769942

Least Common Multiple (LCM) of 23218 and 23238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23218 and 23238. First we will calculate the prime factors of 23218 and 23238.

Prime Factorization of 23218

Prime Factorization of 23238

Now multiplying the highest exponent prime factors to calculate the LCM of 23218 and 23238.

LCM(23218,23238) = 2¹ × 13¹ × 19¹ × 47¹ × 3² × 1291¹
LCM(23218,23238) = 269769942