Least Common Multiple of 5517 and 5523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5517 and 5523 the smallest integer that is 10156797 that is divisible by both numbers.

Least Common Multiple (LCM) of 5517 and 5523 is 10156797.

LCM(5517,5523) = 10156797

LCM of 5517 and 5523

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

LCM of:
and

Least Common Multiple of 5517 and 5523

LCM of 5517 and 5523 is 10156797

Least common multiple can be found by multiplying the highest exponent prime factors of 5517 and 5523. First we will calculate the prime factors of 5517 and 5523.

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

Prime Factorization of 5523


3 5523
7 1841
263 263
1

Prime factors of 5523 are 3, 7,263. Prime factorization of 5523 in exponential form is:

5523 = 31×71×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 5517 and 5523.

LCM(5517,5523) = 32×71×2631×6131
LCM(5517,5523) = 10156797

Factors of 5517

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

1, 3, 9, 613, 1839, 5517

Factors of 5523

List of positive integer factors of 5523 that divides 5523 without a remainder.

1, 3, 7, 21, 263, 789, 1841, 5523

Least Common Multiple of 5517 and 5523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5517 and 5523, than apply into the LCM equation.

GCF(5517,5523) = 3
LCM(5517,5523) = ( 5517 × 5523) / 3
LCM(5517,5523) = 30470391 / 3
LCM(5517,5523) = 10156797

Properties of LCM 5517 and 5523

(i) The LCM of 5523 and 5517 is associative

LCM of 5517 and 5523 = LCM of 5523 and 5517

Related Least Common Multiples of 5517

Related Least Common Multiples of 5523

Frequently Asked Questions on LCM of 5517 and 5523

1. What is the LCM of 5517 and 5523?

Answer: LCM of 5517 and 5523 is 10156797.

2. 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.

3. What are the Factors of 5523?

Answer: Factors of 5523 are 1, 3, 7, 21, 263, 789, 1841, 5523. There are 8 integers that are factors of 5523. The greatest factor of 5523 is 5523.

4. How to Find the LCM of 5517 and 5523?

Answer:

Least Common Multiple of 5517 and 5523 = 10156797

Step 1: Find the prime factorization of 5517

5517 = 3 x 3 x 613

Step 2: Find the prime factorization of 5523

5523 = 3 x 7 x 263

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

LCM = 10156797 = 3 x 3 x 7 x 263 x 613

Step 4: Therefore, the least common multiple of 5517 and 5523 is 10156797.