Least Common Multiple of 5507 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 5507 and 5515 the smallest integer that is 30371105 that is divisible by both numbers.

Least Common Multiple (LCM) of 5507 and 5515 is 30371105.

LCM(5507,5515) = 30371105

LCM of 5507 and 5515

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

LCM of:
and

Least Common Multiple of 5507 and 5515

LCM of 5507 and 5515 is 30371105

Least common multiple can be found by multiplying the highest exponent prime factors of 5507 and 5515. First we will calculate the prime factors of 5507 and 5515.

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 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 5507 and 5515.

LCM(5507,5515) = 51×11031×55071
LCM(5507,5515) = 30371105

Factors of 5507

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

1, 5507

Factors of 5515

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

1, 5, 1103, 5515

Least Common Multiple of 5507 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 5507 and 5515, than apply into the LCM equation.

GCF(5507,5515) = 1
LCM(5507,5515) = ( 5507 × 5515) / 1
LCM(5507,5515) = 30371105 / 1
LCM(5507,5515) = 30371105

Properties of LCM 5507 and 5515

(i) The LCM of 5515 and 5507 is associative

LCM of 5507 and 5515 = LCM of 5515 and 5507

Related Least Common Multiples of 5507

Related Least Common Multiples of 5515

Frequently Asked Questions on LCM of 5507 and 5515

1. What is the LCM of 5507 and 5515?

Answer: LCM of 5507 and 5515 is 30371105.

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 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 5507 and 5515?

Answer:

Least Common Multiple of 5507 and 5515 = 30371105

Step 1: Find the prime factorization of 5507

5507 = 5507

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 = 30371105 = 5 x 1103 x 5507

Step 4: Therefore, the least common multiple of 5507 and 5515 is 30371105.