What is the Least Common Multiple of 16523 and 16537?

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 16537 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 16537, than apply into the LCM equation.

GCF(16523,16537) = 1
LCM(16523,16537) = ( 16523 × 16537) / 1
LCM(16523,16537) = 273240851 / 1
LCM(16523,16537) = 273240851

Least Common Multiple (LCM) of 16523 and 16537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16523 and 16537. First we will calculate the prime factors of 16523 and 16537.

Prime Factorization of 16523

Prime Factorization of 16537

Now multiplying the highest exponent prime factors to calculate the LCM of 16523 and 16537.

LCM(16523,16537) = 13¹ × 31¹ × 41¹ × 23¹ × 719¹
LCM(16523,16537) = 273240851