Least Common Multiple of 5507 and 5513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5507 and 5513 the smallest integer that is 30360091 that is divisible by both numbers.

Least Common Multiple (LCM) of 5507 and 5513 is 30360091.

LCM(5507,5513) = 30360091

LCM of 5507 and 5513

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

LCM of:
and

Least Common Multiple of 5507 and 5513

LCM of 5507 and 5513 is 30360091

Least common multiple can be found by multiplying the highest exponent prime factors of 5507 and 5513. First we will calculate the prime factors of 5507 and 5513.

Prime Factorization of 5507


5507 5507
1

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

5507 = 55071

Prime Factorization of 5513


37 5513
149 149
1

Prime factors of 5513 are 37,149. Prime factorization of 5513 in exponential form is:

5513 = 371×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 5507 and 5513.

LCM(5507,5513) = 371×1491×55071
LCM(5507,5513) = 30360091

Factors of 5507

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

1, 5507

Factors of 5513

List of positive integer factors of 5513 that divides 5513 without a remainder.

1, 37, 149, 5513

Least Common Multiple of 5507 and 5513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5507 and 5513, than apply into the LCM equation.

GCF(5507,5513) = 1
LCM(5507,5513) = ( 5507 × 5513) / 1
LCM(5507,5513) = 30360091 / 1
LCM(5507,5513) = 30360091

Properties of LCM 5507 and 5513

(i) The LCM of 5513 and 5507 is associative

LCM of 5507 and 5513 = LCM of 5513 and 5507

Related Least Common Multiples of 5507

Related Least Common Multiples of 5513

Frequently Asked Questions on LCM of 5507 and 5513

1. What is the LCM of 5507 and 5513?

Answer: LCM of 5507 and 5513 is 30360091.

2. 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.

3. What are the Factors of 5513?

Answer: Factors of 5513 are 1, 37, 149, 5513. There are 4 integers that are factors of 5513. The greatest factor of 5513 is 5513.

4. How to Find the LCM of 5507 and 5513?

Answer:

Least Common Multiple of 5507 and 5513 = 30360091

Step 1: Find the prime factorization of 5507

5507 = 5507

Step 2: Find the prime factorization of 5513

5513 = 37 x 149

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

LCM = 30360091 = 37 x 149 x 5507

Step 4: Therefore, the least common multiple of 5507 and 5513 is 30360091.