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What is the Least Common Multiple of 5511 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 5511 and 5524 is 30442764.

LCM(5511,5524) = 30442764

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Least Common Multiple of 5511 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 5511 and 5524, than apply into the LCM equation.

GCF(5511,5524) = 1
LCM(5511,5524) = ( 5511 × 5524) / 1
LCM(5511,5524) = 30442764 / 1
LCM(5511,5524) = 30442764

Least Common Multiple (LCM) of 5511 and 5524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5511 and 5524. First we will calculate the prime factors of 5511 and 5524.

Prime Factorization of 5511

Prime factors of 5511 are 3, 11, 167. Prime factorization of 5511 in exponential form is:

5511 = 31 × 111 × 1671

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 5511 and 5524.

LCM(5511,5524) = 31 × 111 × 1671 × 22 × 13811
LCM(5511,5524) = 30442764