What is the Least Common Multiple of 15542 and 15548?

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 15542 and 15548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15542 and 15548, than apply into the LCM equation.

GCF(15542,15548) = 2
LCM(15542,15548) = ( 15542 × 15548) / 2
LCM(15542,15548) = 241647016 / 2
LCM(15542,15548) = 120823508

Least Common Multiple (LCM) of 15542 and 15548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15542 and 15548. First we will calculate the prime factors of 15542 and 15548.

Prime Factorization of 15542

Prime Factorization of 15548

Now multiplying the highest exponent prime factors to calculate the LCM of 15542 and 15548.

LCM(15542,15548) = 2² × 19¹ × 409¹ × 13² × 23¹
LCM(15542,15548) = 120823508