What is the Least Common Multiple of 16505 and 16516?

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 16516 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 16516, than apply into the LCM equation.

GCF(16505,16516) = 1
LCM(16505,16516) = ( 16505 × 16516) / 1
LCM(16505,16516) = 272596580 / 1
LCM(16505,16516) = 272596580

Least Common Multiple (LCM) of 16505 and 16516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16505 and 16516. First we will calculate the prime factors of 16505 and 16516.

Prime Factorization of 16505

Prime Factorization of 16516

Now multiplying the highest exponent prime factors to calculate the LCM of 16505 and 16516.

LCM(16505,16516) = 5¹ × 3301¹ × 2² × 4129¹
LCM(16505,16516) = 272596580