What is the Least Common Multiple of 5524 and 5537?

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 5524 and 5537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5524 and 5537, than apply into the LCM equation.

GCF(5524,5537) = 1
LCM(5524,5537) = ( 5524 × 5537) / 1
LCM(5524,5537) = 30586388 / 1
LCM(5524,5537) = 30586388

Least Common Multiple (LCM) of 5524 and 5537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5524 and 5537. First we will calculate the prime factors of 5524 and 5537.

Prime Factorization of 5524

Prime Factorization of 5537

Now multiplying the highest exponent prime factors to calculate the LCM of 5524 and 5537.

LCM(5524,5537) = 2² × 1381¹ × 7² × 113¹
LCM(5524,5537) = 30586388