Least Common Multiple of 5453 and 5457
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5453 and 5457 the smallest integer that is 29757021 that is divisible by both numbers.
Least Common Multiple (LCM) of 5453 and 5457 is 29757021.
LCM(5453,5457) = 29757021
LCM of 5453 and 5457
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5453 and 5457 by Prime method
- Least Common Multiple of 5453 and 5457 with GCF Formula
LCM of 5453 and 5457 is 29757021
Least common multiple can be found by multiplying the highest exponent prime factors of 5453 and 5457. First we will calculate the prime factors of 5453 and 5457.
Prime Factorization of 5453
| 7 | 5453 |
| 19 | 779 |
| 41 | 41 |
| 1 |
Prime factors of 5453 are 7, 19,41. Prime factorization of 5453 in exponential form is:
5453 = 71×191×411
Prime Factorization of 5457
| 3 | 5457 |
| 17 | 1819 |
| 107 | 107 |
| 1 |
Prime factors of 5457 are 3, 17,107. Prime factorization of 5457 in exponential form is:
5457 = 31×171×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 5453 and 5457.
LCM(5453,5457) = 31×71×171×191×411×1071
LCM(5453,5457) = 29757021
Factors of 5453
List of positive integer factors of 5453 that divides 5453 without a remainder.
1, 7, 19, 41, 133, 287, 779, 5453
Factors of 5457
List of positive integer factors of 5457 that divides 5457 without a remainder.
1, 3, 17, 51, 107, 321, 1819, 5457
Least Common Multiple of 5453 and 5457 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5453 and 5457, than apply into the LCM equation.
GCF(5453,5457) = 1
LCM(5453,5457) = ( 5453 × 5457) / 1
LCM(5453,5457) = 29757021 / 1
LCM(5453,5457) = 29757021
Properties of LCM 5453 and 5457
(i) The LCM of 5457 and 5453 is associative
LCM of 5453 and 5457 = LCM of 5457 and 5453
Related Least Common Multiples of 5453
Related Least Common Multiples of 5457
Frequently Asked Questions on LCM of 5453 and 5457
1. What is the LCM of 5453 and 5457?
Answer: LCM of 5453 and 5457 is 29757021.
2. What are the Factors of 5453?
Answer: Factors of 5453 are 1, 7, 19, 41, 133, 287, 779, 5453. There are 8 integers that are factors of 5453. The greatest factor of 5453 is 5453.
3. What are the Factors of 5457?
Answer: Factors of 5457 are 1, 3, 17, 51, 107, 321, 1819, 5457. There are 8 integers that are factors of 5457. The greatest factor of 5457 is 5457.
4. How to Find the LCM of 5453 and 5457?
Answer:
Least Common Multiple of 5453 and 5457 = 29757021
Step 1: Find the prime factorization of 5453
5453 = 7 x 19 x 41
Step 2: Find the prime factorization of 5457
5457 = 3 x 17 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29757021 = 3 x 7 x 17 x 19 x 41 x 107
Step 4: Therefore, the least common multiple of 5453 and 5457 is 29757021.