Least Common Multiple of 5503 and 5507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5503 and 5507 the smallest integer that is 30305021 that is divisible by both numbers.

Least Common Multiple (LCM) of 5503 and 5507 is 30305021.

LCM(5503,5507) = 30305021

LCM of 5503 and 5507

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

LCM of:
and

Least Common Multiple of 5503 and 5507

LCM of 5503 and 5507 is 30305021

Least common multiple can be found by multiplying the highest exponent prime factors of 5503 and 5507. First we will calculate the prime factors of 5503 and 5507.

Prime Factorization of 5503


5503 5503
1

Prime factors of 5503 are 5503. Prime factorization of 5503 in exponential form is:

5503 = 55031

Prime Factorization of 5507


5507 5507
1

Prime factors of 5507 are 5507. Prime factorization of 5507 in exponential form is:

5507 = 55071

Now multiplying the highest exponent prime factors to calculate the LCM of 5503 and 5507.

LCM(5503,5507) = 55031×55071
LCM(5503,5507) = 30305021

Factors of 5503

List of positive integer factors of 5503 that divides 5503 without a remainder.

1, 5503

Factors of 5507

List of positive integer factors of 5507 that divides 5507 without a remainder.

1, 5507

Least Common Multiple of 5503 and 5507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5503 and 5507, than apply into the LCM equation.

GCF(5503,5507) = 1
LCM(5503,5507) = ( 5503 × 5507) / 1
LCM(5503,5507) = 30305021 / 1
LCM(5503,5507) = 30305021

Properties of LCM 5503 and 5507

(i) The LCM of 5507 and 5503 is associative

LCM of 5503 and 5507 = LCM of 5507 and 5503

Related Least Common Multiples of 5503

Related Least Common Multiples of 5507

Frequently Asked Questions on LCM of 5503 and 5507

1. What is the LCM of 5503 and 5507?

Answer: LCM of 5503 and 5507 is 30305021.

2. What are the Factors of 5503?

Answer: Factors of 5503 are 1, 5503. There are 2 integers that are factors of 5503. The greatest factor of 5503 is 5503.

3. What are the Factors of 5507?

Answer: Factors of 5507 are 1, 5507. There are 2 integers that are factors of 5507. The greatest factor of 5507 is 5507.

4. How to Find the LCM of 5503 and 5507?

Answer:

Least Common Multiple of 5503 and 5507 = 30305021

Step 1: Find the prime factorization of 5503

5503 = 5503

Step 2: Find the prime factorization of 5507

5507 = 5507

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

LCM = 30305021 = 5503 x 5507

Step 4: Therefore, the least common multiple of 5503 and 5507 is 30305021.