Least Common Multiple of 5494 and 5499
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5494 and 5499 the smallest integer that is 30211506 that is divisible by both numbers.
Least Common Multiple (LCM) of 5494 and 5499 is 30211506.
LCM(5494,5499) = 30211506
LCM of 5494 and 5499
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5494 and 5499 by Prime method
- Least Common Multiple of 5494 and 5499 with GCF Formula
LCM of 5494 and 5499 is 30211506
Least common multiple can be found by multiplying the highest exponent prime factors of 5494 and 5499. First we will calculate the prime factors of 5494 and 5499.
Prime Factorization of 5494
| 2 | 5494 |
| 41 | 2747 |
| 67 | 67 |
| 1 |
Prime factors of 5494 are 2, 41,67. Prime factorization of 5494 in exponential form is:
5494 = 21×411×671
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5494 and 5499.
LCM(5494,5499) = 21×32×131×411×471×671
LCM(5494,5499) = 30211506
Factors of 5494
List of positive integer factors of 5494 that divides 5494 without a remainder.
1, 2, 41, 67, 82, 134, 2747, 5494
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
Least Common Multiple of 5494 and 5499 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5494 and 5499, than apply into the LCM equation.
GCF(5494,5499) = 1
LCM(5494,5499) = ( 5494 × 5499) / 1
LCM(5494,5499) = 30211506 / 1
LCM(5494,5499) = 30211506
Properties of LCM 5494 and 5499
(i) The LCM of 5499 and 5494 is associative
LCM of 5494 and 5499 = LCM of 5499 and 5494
Related Least Common Multiples of 5494
Related Least Common Multiples of 5499
Frequently Asked Questions on LCM of 5494 and 5499
1. What is the LCM of 5494 and 5499?
Answer: LCM of 5494 and 5499 is 30211506.
2. What are the Factors of 5494?
Answer: Factors of 5494 are 1, 2, 41, 67, 82, 134, 2747, 5494. There are 8 integers that are factors of 5494. The greatest factor of 5494 is 5494.
3. 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.
4. How to Find the LCM of 5494 and 5499?
Answer:
Least Common Multiple of 5494 and 5499 = 30211506
Step 1: Find the prime factorization of 5494
5494 = 2 x 41 x 67
Step 2: Find the prime factorization of 5499
5499 = 3 x 3 x 13 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30211506 = 2 x 3 x 3 x 13 x 41 x 47 x 67
Step 4: Therefore, the least common multiple of 5494 and 5499 is 30211506.