Least Common Multiple of 5511 and 5517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5511 and 5517 the smallest integer that is 10134729 that is divisible by both numbers.

Least Common Multiple (LCM) of 5511 and 5517 is 10134729.

LCM(5511,5517) = 10134729

LCM of 5511 and 5517

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

LCM of:
and

Least Common Multiple of 5511 and 5517

LCM of 5511 and 5517 is 10134729

Least common multiple can be found by multiplying the highest exponent prime factors of 5511 and 5517. First we will calculate the prime factors of 5511 and 5517.

Prime Factorization of 5511


3 5511
11 1837
167 167
1

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

5511 = 31×111×1671

Prime Factorization of 5517


3 5517
3 1839
613 613
1

Prime factors of 5517 are 3,613. Prime factorization of 5517 in exponential form is:

5517 = 32×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 5511 and 5517.

LCM(5511,5517) = 32×111×1671×6131
LCM(5511,5517) = 10134729

Factors of 5511

List of positive integer factors of 5511 that divides 5511 without a remainder.

1, 3, 11, 33, 167, 501, 1837, 5511

Factors of 5517

List of positive integer factors of 5517 that divides 5517 without a remainder.

1, 3, 9, 613, 1839, 5517

Least Common Multiple of 5511 and 5517 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 5517, than apply into the LCM equation.

GCF(5511,5517) = 3
LCM(5511,5517) = ( 5511 × 5517) / 3
LCM(5511,5517) = 30404187 / 3
LCM(5511,5517) = 10134729

Properties of LCM 5511 and 5517

(i) The LCM of 5517 and 5511 is associative

LCM of 5511 and 5517 = LCM of 5517 and 5511

Related Least Common Multiples of 5511

Related Least Common Multiples of 5517

Frequently Asked Questions on LCM of 5511 and 5517

1. What is the LCM of 5511 and 5517?

Answer: LCM of 5511 and 5517 is 10134729.

2. What are the Factors of 5511?

Answer: Factors of 5511 are 1, 3, 11, 33, 167, 501, 1837, 5511. There are 8 integers that are factors of 5511. The greatest factor of 5511 is 5511.

3. What are the Factors of 5517?

Answer: Factors of 5517 are 1, 3, 9, 613, 1839, 5517. There are 6 integers that are factors of 5517. The greatest factor of 5517 is 5517.

4. How to Find the LCM of 5511 and 5517?

Answer:

Least Common Multiple of 5511 and 5517 = 10134729

Step 1: Find the prime factorization of 5511

5511 = 3 x 11 x 167

Step 2: Find the prime factorization of 5517

5517 = 3 x 3 x 613

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

LCM = 10134729 = 3 x 3 x 11 x 167 x 613

Step 4: Therefore, the least common multiple of 5511 and 5517 is 10134729.