Least Common Multiple of 5514 and 5522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5514 and 5522 the smallest integer that is 15224154 that is divisible by both numbers.

Least Common Multiple (LCM) of 5514 and 5522 is 15224154.

LCM(5514,5522) = 15224154

LCM of 5514 and 5522

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

LCM of:
and

Least Common Multiple of 5514 and 5522

LCM of 5514 and 5522 is 15224154

Least common multiple can be found by multiplying the highest exponent prime factors of 5514 and 5522. First we will calculate the prime factors of 5514 and 5522.

Prime Factorization of 5514


2 5514
3 2757
919 919
1

Prime factors of 5514 are 2, 3,919. Prime factorization of 5514 in exponential form is:

5514 = 21×31×9191

Prime Factorization of 5522


2 5522
11 2761
251 251
1

Prime factors of 5522 are 2, 11,251. Prime factorization of 5522 in exponential form is:

5522 = 21×111×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 5514 and 5522.

LCM(5514,5522) = 21×31×111×2511×9191
LCM(5514,5522) = 15224154

Factors of 5514

List of positive integer factors of 5514 that divides 5514 without a remainder.

1, 2, 3, 6, 919, 1838, 2757, 5514

Factors of 5522

List of positive integer factors of 5522 that divides 5522 without a remainder.

1, 2, 11, 22, 251, 502, 2761, 5522

Least Common Multiple of 5514 and 5522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5514 and 5522, than apply into the LCM equation.

GCF(5514,5522) = 2
LCM(5514,5522) = ( 5514 × 5522) / 2
LCM(5514,5522) = 30448308 / 2
LCM(5514,5522) = 15224154

Properties of LCM 5514 and 5522

(i) The LCM of 5522 and 5514 is associative

LCM of 5514 and 5522 = LCM of 5522 and 5514

Related Least Common Multiples of 5514

Related Least Common Multiples of 5522

Frequently Asked Questions on LCM of 5514 and 5522

1. What is the LCM of 5514 and 5522?

Answer: LCM of 5514 and 5522 is 15224154.

2. What are the Factors of 5514?

Answer: Factors of 5514 are 1, 2, 3, 6, 919, 1838, 2757, 5514. There are 8 integers that are factors of 5514. The greatest factor of 5514 is 5514.

3. What are the Factors of 5522?

Answer: Factors of 5522 are 1, 2, 11, 22, 251, 502, 2761, 5522. There are 8 integers that are factors of 5522. The greatest factor of 5522 is 5522.

4. How to Find the LCM of 5514 and 5522?

Answer:

Least Common Multiple of 5514 and 5522 = 15224154

Step 1: Find the prime factorization of 5514

5514 = 2 x 3 x 919

Step 2: Find the prime factorization of 5522

5522 = 2 x 11 x 251

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

LCM = 15224154 = 2 x 3 x 11 x 251 x 919

Step 4: Therefore, the least common multiple of 5514 and 5522 is 15224154.