Least Common Multiple of 5499 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 5499 and 5506 the smallest integer that is 30277494 that is divisible by both numbers.
Least Common Multiple (LCM) of 5499 and 5506 is 30277494.
LCM(5499,5506) = 30277494
LCM of 5499 and 5506
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5499 and 5506 by Prime method
- Least Common Multiple of 5499 and 5506 with GCF Formula
LCM of 5499 and 5506 is 30277494
Least common multiple can be found by multiplying the highest exponent prime factors of 5499 and 5506. First we will calculate the prime factors of 5499 and 5506.
Prime Factorization of 5499
| 3 | 5499 |
| 3 | 1833 |
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 5499 are 3, 13,47. Prime factorization of 5499 in exponential form is:
5499 = 32×131×471
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 5499 and 5506.
LCM(5499,5506) = 21×32×131×471×27531
LCM(5499,5506) = 30277494
Factors of 5499
List of positive integer factors of 5499 that divides 5499 without a remainder.
1, 3, 9, 13, 39, 47, 117, 141, 423, 611, 1833, 5499
Factors of 5506
List of positive integer factors of 5506 that divides 5506 without a remainder.
1, 2, 2753, 5506
Least Common Multiple of 5499 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 5499 and 5506, than apply into the LCM equation.
GCF(5499,5506) = 1
LCM(5499,5506) = ( 5499 × 5506) / 1
LCM(5499,5506) = 30277494 / 1
LCM(5499,5506) = 30277494
Properties of LCM 5499 and 5506
(i) The LCM of 5506 and 5499 is associative
LCM of 5499 and 5506 = LCM of 5506 and 5499
Related Least Common Multiples of 5499
Related Least Common Multiples of 5506
Frequently Asked Questions on LCM of 5499 and 5506
1. What is the LCM of 5499 and 5506?
Answer: LCM of 5499 and 5506 is 30277494.
2. What are the Factors of 5499?
Answer: Factors of 5499 are 1, 3, 9, 13, 39, 47, 117, 141, 423, 611, 1833, 5499. There are 12 integers that are factors of 5499. The greatest factor of 5499 is 5499.
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 5499 and 5506?
Answer:
Least Common Multiple of 5499 and 5506 = 30277494
Step 1: Find the prime factorization of 5499
5499 = 3 x 3 x 13 x 47
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 = 30277494 = 2 x 3 x 3 x 13 x 47 x 2753
Step 4: Therefore, the least common multiple of 5499 and 5506 is 30277494.