What is the Least Common Multiple of 16523 and 16538?

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 16523 and 16538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16523 and 16538, than apply into the LCM equation.

GCF(16523,16538) = 1
LCM(16523,16538) = ( 16523 × 16538) / 1
LCM(16523,16538) = 273257374 / 1
LCM(16523,16538) = 273257374

Least Common Multiple (LCM) of 16523 and 16538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16523 and 16538. First we will calculate the prime factors of 16523 and 16538.

Prime Factorization of 16523

Prime Factorization of 16538

Now multiplying the highest exponent prime factors to calculate the LCM of 16523 and 16538.

LCM(16523,16538) = 13¹ × 31¹ × 41¹ × 2¹ × 8269¹
LCM(16523,16538) = 273257374