Least Common Multiple of 5521 and 5527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5521 and 5527 the smallest integer that is 30514567 that is divisible by both numbers.

Least Common Multiple (LCM) of 5521 and 5527 is 30514567.

LCM(5521,5527) = 30514567

LCM of 5521 and 5527

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5521 and 5527

LCM of 5521 and 5527 is 30514567

Least common multiple can be found by multiplying the highest exponent prime factors of 5521 and 5527. First we will calculate the prime factors of 5521 and 5527.

Prime Factorization of 5521


5521 5521
1

Prime factors of 5521 are 5521. Prime factorization of 5521 in exponential form is:

5521 = 55211

Prime Factorization of 5527


5527 5527
1

Prime factors of 5527 are 5527. Prime factorization of 5527 in exponential form is:

5527 = 55271

Now multiplying the highest exponent prime factors to calculate the LCM of 5521 and 5527.

LCM(5521,5527) = 55211×55271
LCM(5521,5527) = 30514567

Factors of 5521

List of positive integer factors of 5521 that divides 5521 without a remainder.

1, 5521

Factors of 5527

List of positive integer factors of 5527 that divides 5527 without a remainder.

1, 5527

Least Common Multiple of 5521 and 5527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5521 and 5527, than apply into the LCM equation.

GCF(5521,5527) = 1
LCM(5521,5527) = ( 5521 × 5527) / 1
LCM(5521,5527) = 30514567 / 1
LCM(5521,5527) = 30514567

Properties of LCM 5521 and 5527

(i) The LCM of 5527 and 5521 is associative

LCM of 5521 and 5527 = LCM of 5527 and 5521

Related Least Common Multiples of 5521

Related Least Common Multiples of 5527

Frequently Asked Questions on LCM of 5521 and 5527

1. What is the LCM of 5521 and 5527?

Answer: LCM of 5521 and 5527 is 30514567.

2. What are the Factors of 5521?

Answer: Factors of 5521 are 1, 5521. There are 2 integers that are factors of 5521. The greatest factor of 5521 is 5521.

3. What are the Factors of 5527?

Answer: Factors of 5527 are 1, 5527. There are 2 integers that are factors of 5527. The greatest factor of 5527 is 5527.

4. How to Find the LCM of 5521 and 5527?

Answer:

Least Common Multiple of 5521 and 5527 = 30514567

Step 1: Find the prime factorization of 5521

5521 = 5521

Step 2: Find the prime factorization of 5527

5527 = 5527

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 30514567 = 5521 x 5527

Step 4: Therefore, the least common multiple of 5521 and 5527 is 30514567.