What is the Least Common Multiple of 15548 and 15567?

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 15548 and 15567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15548 and 15567, than apply into the LCM equation.

GCF(15548,15567) = 1
LCM(15548,15567) = ( 15548 × 15567) / 1
LCM(15548,15567) = 242035716 / 1
LCM(15548,15567) = 242035716

Least Common Multiple (LCM) of 15548 and 15567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15548 and 15567. First we will calculate the prime factors of 15548 and 15567.

Prime Factorization of 15548

Prime Factorization of 15567

Now multiplying the highest exponent prime factors to calculate the LCM of 15548 and 15567.

LCM(15548,15567) = 2² × 13² × 23¹ × 3¹ × 5189¹
LCM(15548,15567) = 242035716