Least Common Multiple of 5457 and 5461
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5457 and 5461 the smallest integer that is 29800677 that is divisible by both numbers.
Least Common Multiple (LCM) of 5457 and 5461 is 29800677.
LCM(5457,5461) = 29800677
LCM of 5457 and 5461
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5457 and 5461 by Prime method
- Least Common Multiple of 5457 and 5461 with GCF Formula
LCM of 5457 and 5461 is 29800677
Least common multiple can be found by multiplying the highest exponent prime factors of 5457 and 5461. First we will calculate the prime factors of 5457 and 5461.
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
Prime Factorization of 5461
| 43 | 5461 |
| 127 | 127 |
| 1 |
Prime factors of 5461 are 43,127. Prime factorization of 5461 in exponential form is:
5461 = 431×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 5457 and 5461.
LCM(5457,5461) = 31×171×431×1071×1271
LCM(5457,5461) = 29800677
Factors of 5457
List of positive integer factors of 5457 that divides 5457 without a remainder.
1, 3, 17, 51, 107, 321, 1819, 5457
Factors of 5461
List of positive integer factors of 5461 that divides 5461 without a remainder.
1, 43, 127, 5461
Least Common Multiple of 5457 and 5461 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5457 and 5461, than apply into the LCM equation.
GCF(5457,5461) = 1
LCM(5457,5461) = ( 5457 × 5461) / 1
LCM(5457,5461) = 29800677 / 1
LCM(5457,5461) = 29800677
Properties of LCM 5457 and 5461
(i) The LCM of 5461 and 5457 is associative
LCM of 5457 and 5461 = LCM of 5461 and 5457
Related Least Common Multiples of 5457
Related Least Common Multiples of 5461
Frequently Asked Questions on LCM of 5457 and 5461
1. What is the LCM of 5457 and 5461?
Answer: LCM of 5457 and 5461 is 29800677.
2. 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.
3. What are the Factors of 5461?
Answer: Factors of 5461 are 1, 43, 127, 5461. There are 4 integers that are factors of 5461. The greatest factor of 5461 is 5461.
4. How to Find the LCM of 5457 and 5461?
Answer:
Least Common Multiple of 5457 and 5461 = 29800677
Step 1: Find the prime factorization of 5457
5457 = 3 x 17 x 107
Step 2: Find the prime factorization of 5461
5461 = 43 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29800677 = 3 x 17 x 43 x 107 x 127
Step 4: Therefore, the least common multiple of 5457 and 5461 is 29800677.