Least Common Multiple of 5406 and 5411
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 5411 the smallest integer that is 29251866 that is divisible by both numbers.
Least Common Multiple (LCM) of 5406 and 5411 is 29251866.
LCM(5406,5411) = 29251866
LCM of 5406 and 5411
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5406 and 5411 by Prime method
- Least Common Multiple of 5406 and 5411 with GCF Formula
LCM of 5406 and 5411 is 29251866
Least common multiple can be found by multiplying the highest exponent prime factors of 5406 and 5411. First we will calculate the prime factors of 5406 and 5411.
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 5411
| 7 | 5411 |
| 773 | 773 |
| 1 |
Prime factors of 5411 are 7,773. Prime factorization of 5411 in exponential form is:
5411 = 71×7731
Now multiplying the highest exponent prime factors to calculate the LCM of 5406 and 5411.
LCM(5406,5411) = 21×31×71×171×531×7731
LCM(5406,5411) = 29251866
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 5411
List of positive integer factors of 5411 that divides 5411 without a remainder.
1, 7, 773, 5411
Least Common Multiple of 5406 and 5411 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 5411, than apply into the LCM equation.
GCF(5406,5411) = 1
LCM(5406,5411) = ( 5406 × 5411) / 1
LCM(5406,5411) = 29251866 / 1
LCM(5406,5411) = 29251866
Properties of LCM 5406 and 5411
(i) The LCM of 5411 and 5406 is associative
LCM of 5406 and 5411 = LCM of 5411 and 5406
Related Least Common Multiples of 5406
Related Least Common Multiples of 5411
Frequently Asked Questions on LCM of 5406 and 5411
1. What is the LCM of 5406 and 5411?
Answer: LCM of 5406 and 5411 is 29251866.
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 5411?
Answer: Factors of 5411 are 1, 7, 773, 5411. There are 4 integers that are factors of 5411. The greatest factor of 5411 is 5411.
4. How to Find the LCM of 5406 and 5411?
Answer:
Least Common Multiple of 5406 and 5411 = 29251866
Step 1: Find the prime factorization of 5406
5406 = 2 x 3 x 17 x 53
Step 2: Find the prime factorization of 5411
5411 = 7 x 773
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29251866 = 2 x 3 x 7 x 17 x 53 x 773
Step 4: Therefore, the least common multiple of 5406 and 5411 is 29251866.