What is the Least Common Multiple of 4238 and 4257?

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 4238 and 4257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4238 and 4257, than apply into the LCM equation.

GCF(4238,4257) = 1
LCM(4238,4257) = ( 4238 × 4257) / 1
LCM(4238,4257) = 18041166 / 1
LCM(4238,4257) = 18041166

Least Common Multiple (LCM) of 4238 and 4257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4238 and 4257. First we will calculate the prime factors of 4238 and 4257.

Prime Factorization of 4238

Prime Factorization of 4257

Now multiplying the highest exponent prime factors to calculate the LCM of 4238 and 4257.

LCM(4238,4257) = 2¹ × 13¹ × 163¹ × 3² × 11¹ × 43¹
LCM(4238,4257) = 18041166