What is the Least Common Multiple of 16523 and 16535?

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 16535 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 16535, than apply into the LCM equation.

GCF(16523,16535) = 1
LCM(16523,16535) = ( 16523 × 16535) / 1
LCM(16523,16535) = 273207805 / 1
LCM(16523,16535) = 273207805

Least Common Multiple (LCM) of 16523 and 16535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16523 and 16535. First we will calculate the prime factors of 16523 and 16535.

Prime Factorization of 16523

Prime Factorization of 16535

Now multiplying the highest exponent prime factors to calculate the LCM of 16523 and 16535.

LCM(16523,16535) = 13¹ × 31¹ × 41¹ × 5¹ × 3307¹
LCM(16523,16535) = 273207805