What is the Least Common Multiple of 16509 and 16520?

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 16509 and 16520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16509 and 16520, than apply into the LCM equation.

GCF(16509,16520) = 1
LCM(16509,16520) = ( 16509 × 16520) / 1
LCM(16509,16520) = 272728680 / 1
LCM(16509,16520) = 272728680

Least Common Multiple (LCM) of 16509 and 16520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16509 and 16520. First we will calculate the prime factors of 16509 and 16520.

Prime Factorization of 16509

Prime Factorization of 16520

Now multiplying the highest exponent prime factors to calculate the LCM of 16509 and 16520.

LCM(16509,16520) = 3¹ × 5503¹ × 2³ × 5¹ × 7¹ × 59¹
LCM(16509,16520) = 272728680