What is the Least Common Multiple of 15504 and 15513?

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 15504 and 15513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15504 and 15513, than apply into the LCM equation.

GCF(15504,15513) = 3
LCM(15504,15513) = ( 15504 × 15513) / 3
LCM(15504,15513) = 240513552 / 3
LCM(15504,15513) = 80171184

Least Common Multiple (LCM) of 15504 and 15513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15504 and 15513. First we will calculate the prime factors of 15504 and 15513.

Prime Factorization of 15504

Prime Factorization of 15513

Now multiplying the highest exponent prime factors to calculate the LCM of 15504 and 15513.

LCM(15504,15513) = 2⁴ × 3¹ × 17¹ × 19¹ × 5171¹
LCM(15504,15513) = 80171184