What is the Least Common Multiple of 16238 and 16257?

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 16238 and 16257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16238 and 16257, than apply into the LCM equation.

GCF(16238,16257) = 1
LCM(16238,16257) = ( 16238 × 16257) / 1
LCM(16238,16257) = 263981166 / 1
LCM(16238,16257) = 263981166

Least Common Multiple (LCM) of 16238 and 16257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16238 and 16257. First we will calculate the prime factors of 16238 and 16257.

Prime Factorization of 16238

Prime Factorization of 16257

Now multiplying the highest exponent prime factors to calculate the LCM of 16238 and 16257.

LCM(16238,16257) = 2¹ × 23¹ × 353¹ × 3¹ × 5419¹
LCM(16238,16257) = 263981166