Least Common Multiple of 5509 and 5510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5509 and 5510 the smallest integer that is 30354590 that is divisible by both numbers.

Least Common Multiple (LCM) of 5509 and 5510 is 30354590.

LCM(5509,5510) = 30354590

LCM of 5509 and 5510

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

LCM of:
and

Least Common Multiple of 5509 and 5510

LCM of 5509 and 5510 is 30354590

Least common multiple can be found by multiplying the highest exponent prime factors of 5509 and 5510. First we will calculate the prime factors of 5509 and 5510.

Prime Factorization of 5509


7 5509
787 787
1

Prime factors of 5509 are 7,787. Prime factorization of 5509 in exponential form is:

5509 = 71×7871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5509 and 5510.

LCM(5509,5510) = 21×51×71×191×291×7871
LCM(5509,5510) = 30354590

Factors of 5509

List of positive integer factors of 5509 that divides 5509 without a remainder.

1, 7, 787, 5509

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

Least Common Multiple of 5509 and 5510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5509 and 5510, than apply into the LCM equation.

GCF(5509,5510) = 1
LCM(5509,5510) = ( 5509 × 5510) / 1
LCM(5509,5510) = 30354590 / 1
LCM(5509,5510) = 30354590

Properties of LCM 5509 and 5510

(i) The LCM of 5510 and 5509 is associative

LCM of 5509 and 5510 = LCM of 5510 and 5509

Related Least Common Multiples of 5509

Related Least Common Multiples of 5510

Frequently Asked Questions on LCM of 5509 and 5510

1. What is the LCM of 5509 and 5510?

Answer: LCM of 5509 and 5510 is 30354590.

2. What are the Factors of 5509?

Answer: Factors of 5509 are 1, 7, 787, 5509. There are 4 integers that are factors of 5509. The greatest factor of 5509 is 5509.

3. 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.

4. How to Find the LCM of 5509 and 5510?

Answer:

Least Common Multiple of 5509 and 5510 = 30354590

Step 1: Find the prime factorization of 5509

5509 = 7 x 787

Step 2: Find the prime factorization of 5510

5510 = 2 x 5 x 19 x 29

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

LCM = 30354590 = 2 x 5 x 7 x 19 x 29 x 787

Step 4: Therefore, the least common multiple of 5509 and 5510 is 30354590.