Least Common Multiple of 5510 and 5514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5510 and 5514 the smallest integer that is 15191070 that is divisible by both numbers.

Least Common Multiple (LCM) of 5510 and 5514 is 15191070.

LCM(5510,5514) = 15191070

LCM of 5510 and 5514

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

LCM of:
and

Least Common Multiple of 5510 and 5514

LCM of 5510 and 5514 is 15191070

Least common multiple can be found by multiplying the highest exponent prime factors of 5510 and 5514. First we will calculate the prime factors of 5510 and 5514.

Prime Factorization of 5510


2 5510
5 2755
19 551
29 29
1

Prime factors of 5510 are 2, 5, 19,29. Prime factorization of 5510 in exponential form is:

5510 = 21×51×191×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5510 and 5514.

LCM(5510,5514) = 21×31×51×191×291×9191
LCM(5510,5514) = 15191070

Factors of 5510

List of positive integer factors of 5510 that divides 5510 without a remainder.

1, 2, 5, 10, 19, 29, 38, 58, 95, 145, 190, 290, 551, 1102, 2755, 5510

Factors of 5514

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

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

Least Common Multiple of 5510 and 5514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5510 and 5514, than apply into the LCM equation.

GCF(5510,5514) = 2
LCM(5510,5514) = ( 5510 × 5514) / 2
LCM(5510,5514) = 30382140 / 2
LCM(5510,5514) = 15191070

Properties of LCM 5510 and 5514

(i) The LCM of 5514 and 5510 is associative

LCM of 5510 and 5514 = LCM of 5514 and 5510

Related Least Common Multiples of 5510

Related Least Common Multiples of 5514

Frequently Asked Questions on LCM of 5510 and 5514

1. What is the LCM of 5510 and 5514?

Answer: LCM of 5510 and 5514 is 15191070.

2. What are the Factors of 5510?

Answer: Factors of 5510 are 1, 2, 5, 10, 19, 29, 38, 58, 95, 145, 190, 290, 551, 1102, 2755, 5510. There are 16 integers that are factors of 5510. The greatest factor of 5510 is 5510.

3. 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.

4. How to Find the LCM of 5510 and 5514?

Answer:

Least Common Multiple of 5510 and 5514 = 15191070

Step 1: Find the prime factorization of 5510

5510 = 2 x 5 x 19 x 29

Step 2: Find the prime factorization of 5514

5514 = 2 x 3 x 919

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

LCM = 15191070 = 2 x 3 x 5 x 19 x 29 x 919

Step 4: Therefore, the least common multiple of 5510 and 5514 is 15191070.