What is the Least Common Multiple of 5509 and 5524?

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 5509 and 5524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5509 and 5524, than apply into the LCM equation.

GCF(5509,5524) = 1
LCM(5509,5524) = ( 5509 × 5524) / 1
LCM(5509,5524) = 30431716 / 1
LCM(5509,5524) = 30431716

Least Common Multiple (LCM) of 5509 and 5524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5509 and 5524. First we will calculate the prime factors of 5509 and 5524.

Prime Factorization of 5509

Prime Factorization of 5524

Now multiplying the highest exponent prime factors to calculate the LCM of 5509 and 5524.

LCM(5509,5524) = 7¹ × 787¹ × 2² × 1381¹
LCM(5509,5524) = 30431716