What is the Least Common Multiple of 5524 and 5544?

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 5544 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 5544, than apply into the LCM equation.

GCF(5524,5544) = 4
LCM(5524,5544) = ( 5524 × 5544) / 4
LCM(5524,5544) = 30625056 / 4
LCM(5524,5544) = 7656264

Least Common Multiple (LCM) of 5524 and 5544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5524 and 5544. First we will calculate the prime factors of 5524 and 5544.

Prime Factorization of 5524

Prime Factorization of 5544

Now multiplying the highest exponent prime factors to calculate the LCM of 5524 and 5544.

LCM(5524,5544) = 2³ × 1381¹ × 3² × 7¹ × 11¹
LCM(5524,5544) = 7656264