What is the Least Common Multiple of 15505 and 15512?

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 15505 and 15512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15505 and 15512, than apply into the LCM equation.

GCF(15505,15512) = 7
LCM(15505,15512) = ( 15505 × 15512) / 7
LCM(15505,15512) = 240513560 / 7
LCM(15505,15512) = 34359080

Least Common Multiple (LCM) of 15505 and 15512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15505 and 15512. First we will calculate the prime factors of 15505 and 15512.

Prime Factorization of 15505

Prime Factorization of 15512

Now multiplying the highest exponent prime factors to calculate the LCM of 15505 and 15512.

LCM(15505,15512) = 5¹ × 7¹ × 443¹ × 2³ × 277¹
LCM(15505,15512) = 34359080