Least Common Multiple of 5487 and 5491
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5487 and 5491 the smallest integer that is 30129117 that is divisible by both numbers.
Least Common Multiple (LCM) of 5487 and 5491 is 30129117.
LCM(5487,5491) = 30129117
LCM of 5487 and 5491
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5487 and 5491 by Prime method
- Least Common Multiple of 5487 and 5491 with GCF Formula
LCM of 5487 and 5491 is 30129117
Least common multiple can be found by multiplying the highest exponent prime factors of 5487 and 5491. First we will calculate the prime factors of 5487 and 5491.
Prime Factorization of 5487
| 3 | 5487 |
| 31 | 1829 |
| 59 | 59 |
| 1 |
Prime factors of 5487 are 3, 31,59. Prime factorization of 5487 in exponential form is:
5487 = 31×311×591
Prime Factorization of 5491
| 17 | 5491 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 5491 are 17,19. Prime factorization of 5491 in exponential form is:
5491 = 172×191
Now multiplying the highest exponent prime factors to calculate the LCM of 5487 and 5491.
LCM(5487,5491) = 31×172×191×311×591
LCM(5487,5491) = 30129117
Factors of 5487
List of positive integer factors of 5487 that divides 5487 without a remainder.
1, 3, 31, 59, 93, 177, 1829, 5487
Factors of 5491
List of positive integer factors of 5491 that divides 5491 without a remainder.
1, 17, 19, 289, 323, 5491
Least Common Multiple of 5487 and 5491 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5487 and 5491, than apply into the LCM equation.
GCF(5487,5491) = 1
LCM(5487,5491) = ( 5487 × 5491) / 1
LCM(5487,5491) = 30129117 / 1
LCM(5487,5491) = 30129117
Properties of LCM 5487 and 5491
(i) The LCM of 5491 and 5487 is associative
LCM of 5487 and 5491 = LCM of 5491 and 5487
Related Least Common Multiples of 5487
Related Least Common Multiples of 5491
Frequently Asked Questions on LCM of 5487 and 5491
1. What is the LCM of 5487 and 5491?
Answer: LCM of 5487 and 5491 is 30129117.
2. What are the Factors of 5487?
Answer: Factors of 5487 are 1, 3, 31, 59, 93, 177, 1829, 5487. There are 8 integers that are factors of 5487. The greatest factor of 5487 is 5487.
3. What are the Factors of 5491?
Answer: Factors of 5491 are 1, 17, 19, 289, 323, 5491. There are 6 integers that are factors of 5491. The greatest factor of 5491 is 5491.
4. How to Find the LCM of 5487 and 5491?
Answer:
Least Common Multiple of 5487 and 5491 = 30129117
Step 1: Find the prime factorization of 5487
5487 = 3 x 31 x 59
Step 2: Find the prime factorization of 5491
5491 = 17 x 17 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30129117 = 3 x 17 x 17 x 19 x 31 x 59
Step 4: Therefore, the least common multiple of 5487 and 5491 is 30129117.