Least Common Multiple of 5406 and 5413
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5406 and 5413 the smallest integer that is 29262678 that is divisible by both numbers.
Least Common Multiple (LCM) of 5406 and 5413 is 29262678.
LCM(5406,5413) = 29262678
LCM of 5406 and 5413
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5406 and 5413 by Prime method
- Least Common Multiple of 5406 and 5413 with GCF Formula
LCM of 5406 and 5413 is 29262678
Least common multiple can be found by multiplying the highest exponent prime factors of 5406 and 5413. First we will calculate the prime factors of 5406 and 5413.
Prime Factorization of 5406
| 2 | 5406 |
| 3 | 2703 |
| 17 | 901 |
| 53 | 53 |
| 1 |
Prime factors of 5406 are 2, 3, 17,53. Prime factorization of 5406 in exponential form is:
5406 = 21×31×171×531
Prime Factorization of 5413
| 5413 | 5413 |
| 1 |
Prime factors of 5413 are 5413. Prime factorization of 5413 in exponential form is:
5413 = 54131
Now multiplying the highest exponent prime factors to calculate the LCM of 5406 and 5413.
LCM(5406,5413) = 21×31×171×531×54131
LCM(5406,5413) = 29262678
Factors of 5406
List of positive integer factors of 5406 that divides 5406 without a remainder.
1, 2, 3, 6, 17, 34, 51, 53, 102, 106, 159, 318, 901, 1802, 2703, 5406
Factors of 5413
List of positive integer factors of 5413 that divides 5413 without a remainder.
1, 5413
Least Common Multiple of 5406 and 5413 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5406 and 5413, than apply into the LCM equation.
GCF(5406,5413) = 1
LCM(5406,5413) = ( 5406 × 5413) / 1
LCM(5406,5413) = 29262678 / 1
LCM(5406,5413) = 29262678
Properties of LCM 5406 and 5413
(i) The LCM of 5413 and 5406 is associative
LCM of 5406 and 5413 = LCM of 5413 and 5406
Related Least Common Multiples of 5406
Related Least Common Multiples of 5413
Frequently Asked Questions on LCM of 5406 and 5413
1. What is the LCM of 5406 and 5413?
Answer: LCM of 5406 and 5413 is 29262678.
2. What are the Factors of 5406?
Answer: Factors of 5406 are 1, 2, 3, 6, 17, 34, 51, 53, 102, 106, 159, 318, 901, 1802, 2703, 5406. There are 16 integers that are factors of 5406. The greatest factor of 5406 is 5406.
3. What are the Factors of 5413?
Answer: Factors of 5413 are 1, 5413. There are 2 integers that are factors of 5413. The greatest factor of 5413 is 5413.
4. How to Find the LCM of 5406 and 5413?
Answer:
Least Common Multiple of 5406 and 5413 = 29262678
Step 1: Find the prime factorization of 5406
5406 = 2 x 3 x 17 x 53
Step 2: Find the prime factorization of 5413
5413 = 5413
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29262678 = 2 x 3 x 17 x 53 x 5413
Step 4: Therefore, the least common multiple of 5406 and 5413 is 29262678.