Least Common Multiple of 5510 and 5515

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 5515 the smallest integer that is 6077530 that is divisible by both numbers.

Least Common Multiple (LCM) of 5510 and 5515 is 6077530.

LCM(5510,5515) = 6077530

LCM of 5510 and 5515

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

LCM of:
and

Least Common Multiple of 5510 and 5515

LCM of 5510 and 5515 is 6077530

Least common multiple can be found by multiplying the highest exponent prime factors of 5510 and 5515. First we will calculate the prime factors of 5510 and 5515.

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 5515


5 5515
1103 1103
1

Prime factors of 5515 are 5,1103. Prime factorization of 5515 in exponential form is:

5515 = 51×11031

Now multiplying the highest exponent prime factors to calculate the LCM of 5510 and 5515.

LCM(5510,5515) = 21×51×191×291×11031
LCM(5510,5515) = 6077530

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 5515

List of positive integer factors of 5515 that divides 5515 without a remainder.

1, 5, 1103, 5515

Least Common Multiple of 5510 and 5515 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 5515, than apply into the LCM equation.

GCF(5510,5515) = 5
LCM(5510,5515) = ( 5510 × 5515) / 5
LCM(5510,5515) = 30387650 / 5
LCM(5510,5515) = 6077530

Properties of LCM 5510 and 5515

(i) The LCM of 5515 and 5510 is associative

LCM of 5510 and 5515 = LCM of 5515 and 5510

Related Least Common Multiples of 5510

Related Least Common Multiples of 5515

Frequently Asked Questions on LCM of 5510 and 5515

1. What is the LCM of 5510 and 5515?

Answer: LCM of 5510 and 5515 is 6077530.

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 5515?

Answer: Factors of 5515 are 1, 5, 1103, 5515. There are 4 integers that are factors of 5515. The greatest factor of 5515 is 5515.

4. How to Find the LCM of 5510 and 5515?

Answer:

Least Common Multiple of 5510 and 5515 = 6077530

Step 1: Find the prime factorization of 5510

5510 = 2 x 5 x 19 x 29

Step 2: Find the prime factorization of 5515

5515 = 5 x 1103

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

LCM = 6077530 = 2 x 5 x 19 x 29 x 1103

Step 4: Therefore, the least common multiple of 5510 and 5515 is 6077530.