Least Common Multiple of 5502 and 5506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5502 and 5506 the smallest integer that is 15147006 that is divisible by both numbers.

Least Common Multiple (LCM) of 5502 and 5506 is 15147006.

LCM(5502,5506) = 15147006

LCM of 5502 and 5506

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

LCM of:
and

Least Common Multiple of 5502 and 5506

LCM of 5502 and 5506 is 15147006

Least common multiple can be found by multiplying the highest exponent prime factors of 5502 and 5506. First we will calculate the prime factors of 5502 and 5506.

Prime Factorization of 5502


2 5502
3 2751
7 917
131 131
1

Prime factors of 5502 are 2, 3, 7,131. Prime factorization of 5502 in exponential form is:

5502 = 21×31×71×1311

Prime Factorization of 5506


2 5506
2753 2753
1

Prime factors of 5506 are 2,2753. Prime factorization of 5506 in exponential form is:

5506 = 21×27531

Now multiplying the highest exponent prime factors to calculate the LCM of 5502 and 5506.

LCM(5502,5506) = 21×31×71×1311×27531
LCM(5502,5506) = 15147006

Factors of 5502

List of positive integer factors of 5502 that divides 5502 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 131, 262, 393, 786, 917, 1834, 2751, 5502

Factors of 5506

List of positive integer factors of 5506 that divides 5506 without a remainder.

1, 2, 2753, 5506

Least Common Multiple of 5502 and 5506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5502 and 5506, than apply into the LCM equation.

GCF(5502,5506) = 2
LCM(5502,5506) = ( 5502 × 5506) / 2
LCM(5502,5506) = 30294012 / 2
LCM(5502,5506) = 15147006

Properties of LCM 5502 and 5506

(i) The LCM of 5506 and 5502 is associative

LCM of 5502 and 5506 = LCM of 5506 and 5502

Related Least Common Multiples of 5502

Related Least Common Multiples of 5506

Frequently Asked Questions on LCM of 5502 and 5506

1. What is the LCM of 5502 and 5506?

Answer: LCM of 5502 and 5506 is 15147006.

2. What are the Factors of 5502?

Answer: Factors of 5502 are 1, 2, 3, 6, 7, 14, 21, 42, 131, 262, 393, 786, 917, 1834, 2751, 5502. There are 16 integers that are factors of 5502. The greatest factor of 5502 is 5502.

3. What are the Factors of 5506?

Answer: Factors of 5506 are 1, 2, 2753, 5506. There are 4 integers that are factors of 5506. The greatest factor of 5506 is 5506.

4. How to Find the LCM of 5502 and 5506?

Answer:

Least Common Multiple of 5502 and 5506 = 15147006

Step 1: Find the prime factorization of 5502

5502 = 2 x 3 x 7 x 131

Step 2: Find the prime factorization of 5506

5506 = 2 x 2753

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

LCM = 15147006 = 2 x 3 x 7 x 131 x 2753

Step 4: Therefore, the least common multiple of 5502 and 5506 is 15147006.