Least Common Multiple of 5509 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 5509 and 5515 the smallest integer that is 30382135 that is divisible by both numbers.

Least Common Multiple (LCM) of 5509 and 5515 is 30382135.

LCM(5509,5515) = 30382135

LCM of 5509 and 5515

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

LCM of:
and

Least Common Multiple of 5509 and 5515

LCM of 5509 and 5515 is 30382135

Least common multiple can be found by multiplying the highest exponent prime factors of 5509 and 5515. First we will calculate the prime factors of 5509 and 5515.

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 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 5509 and 5515.

LCM(5509,5515) = 51×71×7871×11031
LCM(5509,5515) = 30382135

Factors of 5509

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

1, 7, 787, 5509

Factors of 5515

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

1, 5, 1103, 5515

Least Common Multiple of 5509 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 5509 and 5515, than apply into the LCM equation.

GCF(5509,5515) = 1
LCM(5509,5515) = ( 5509 × 5515) / 1
LCM(5509,5515) = 30382135 / 1
LCM(5509,5515) = 30382135

Properties of LCM 5509 and 5515

(i) The LCM of 5515 and 5509 is associative

LCM of 5509 and 5515 = LCM of 5515 and 5509

Related Least Common Multiples of 5509

Related Least Common Multiples of 5515

Frequently Asked Questions on LCM of 5509 and 5515

1. What is the LCM of 5509 and 5515?

Answer: LCM of 5509 and 5515 is 30382135.

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 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 5509 and 5515?

Answer:

Least Common Multiple of 5509 and 5515 = 30382135

Step 1: Find the prime factorization of 5509

5509 = 7 x 787

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 = 30382135 = 5 x 7 x 787 x 1103

Step 4: Therefore, the least common multiple of 5509 and 5515 is 30382135.