What is the Least Common Multiple of 16505 and 16510?

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 16505 and 16510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16505 and 16510, than apply into the LCM equation.

GCF(16505,16510) = 5
LCM(16505,16510) = ( 16505 × 16510) / 5
LCM(16505,16510) = 272497550 / 5
LCM(16505,16510) = 54499510

Least Common Multiple (LCM) of 16505 and 16510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16505 and 16510. First we will calculate the prime factors of 16505 and 16510.

Prime Factorization of 16505

Prime Factorization of 16510

Now multiplying the highest exponent prime factors to calculate the LCM of 16505 and 16510.

LCM(16505,16510) = 5¹ × 3301¹ × 2¹ × 13¹ × 127¹
LCM(16505,16510) = 54499510