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What is the Least Common Multiple of 5507 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 (LCM) of 5507 and 5524 is 30420668.

LCM(5507,5524) = 30420668

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Least Common Multiple of 5507 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 5507 and 5524, than apply into the LCM equation.

GCF(5507,5524) = 1
LCM(5507,5524) = ( 5507 × 5524) / 1
LCM(5507,5524) = 30420668 / 1
LCM(5507,5524) = 30420668

Least Common Multiple (LCM) of 5507 and 5524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5507 and 5524. First we will calculate the prime factors of 5507 and 5524.

Prime Factorization of 5507

Prime factors of 5507 are 5507. Prime factorization of 5507 in exponential form is:

5507 = 55071

Prime Factorization of 5524

Prime factors of 5524 are 2, 1381. Prime factorization of 5524 in exponential form is:

5524 = 22 × 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 5507 and 5524.

LCM(5507,5524) = 55071 × 22 × 13811
LCM(5507,5524) = 30420668