What is the Least Common Multiple of 15504 and 15521?

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 15521 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 15521, than apply into the LCM equation.

GCF(15504,15521) = 17
LCM(15504,15521) = ( 15504 × 15521) / 17
LCM(15504,15521) = 240637584 / 17
LCM(15504,15521) = 14155152

Least Common Multiple (LCM) of 15504 and 15521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15504 and 15521. First we will calculate the prime factors of 15504 and 15521.

Prime Factorization of 15504

Prime Factorization of 15521

Now multiplying the highest exponent prime factors to calculate the LCM of 15504 and 15521.

LCM(15504,15521) = 2⁴ × 3¹ × 17¹ × 19¹ × 11¹ × 83¹
LCM(15504,15521) = 14155152