What is the Least Common Multiple of 15505 and 15523?

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 15523 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 15523, than apply into the LCM equation.

GCF(15505,15523) = 1
LCM(15505,15523) = ( 15505 × 15523) / 1
LCM(15505,15523) = 240684115 / 1
LCM(15505,15523) = 240684115

Least Common Multiple (LCM) of 15505 and 15523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15505 and 15523. First we will calculate the prime factors of 15505 and 15523.

Prime Factorization of 15505

Prime Factorization of 15523

Now multiplying the highest exponent prime factors to calculate the LCM of 15505 and 15523.

LCM(15505,15523) = 5¹ × 7¹ × 443¹ × 19² × 43¹
LCM(15505,15523) = 240684115