Least Common Multiple of 5731 and 5735
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5731 and 5735 the smallest integer that is 32867285 that is divisible by both numbers.
Least Common Multiple (LCM) of 5731 and 5735 is 32867285.
LCM(5731,5735) = 32867285
LCM of 5731 and 5735
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5731 and 5735 by Prime method
- Least Common Multiple of 5731 and 5735 with GCF Formula
LCM of 5731 and 5735 is 32867285
Least common multiple can be found by multiplying the highest exponent prime factors of 5731 and 5735. First we will calculate the prime factors of 5731 and 5735.
Prime Factorization of 5731
| 11 | 5731 |
| 521 | 521 |
| 1 |
Prime factors of 5731 are 11,521. Prime factorization of 5731 in exponential form is:
5731 = 111×5211
Prime Factorization of 5735
| 5 | 5735 |
| 31 | 1147 |
| 37 | 37 |
| 1 |
Prime factors of 5735 are 5, 31,37. Prime factorization of 5735 in exponential form is:
5735 = 51×311×371
Now multiplying the highest exponent prime factors to calculate the LCM of 5731 and 5735.
LCM(5731,5735) = 51×111×311×371×5211
LCM(5731,5735) = 32867285
Factors of 5731
List of positive integer factors of 5731 that divides 5731 without a remainder.
1, 11, 521, 5731
Factors of 5735
List of positive integer factors of 5735 that divides 5735 without a remainder.
1, 5, 31, 37, 155, 185, 1147, 5735
Least Common Multiple of 5731 and 5735 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5731 and 5735, than apply into the LCM equation.
GCF(5731,5735) = 1
LCM(5731,5735) = ( 5731 × 5735) / 1
LCM(5731,5735) = 32867285 / 1
LCM(5731,5735) = 32867285
Properties of LCM 5731 and 5735
(i) The LCM of 5735 and 5731 is associative
LCM of 5731 and 5735 = LCM of 5735 and 5731
Related Least Common Multiples of 5731
Related Least Common Multiples of 5735
Frequently Asked Questions on LCM of 5731 and 5735
1. What is the LCM of 5731 and 5735?
Answer: LCM of 5731 and 5735 is 32867285.
2. What are the Factors of 5731?
Answer: Factors of 5731 are 1, 11, 521, 5731. There are 4 integers that are factors of 5731. The greatest factor of 5731 is 5731.
3. What are the Factors of 5735?
Answer: Factors of 5735 are 1, 5, 31, 37, 155, 185, 1147, 5735. There are 8 integers that are factors of 5735. The greatest factor of 5735 is 5735.
4. How to Find the LCM of 5731 and 5735?
Answer:
Least Common Multiple of 5731 and 5735 = 32867285
Step 1: Find the prime factorization of 5731
5731 = 11 x 521
Step 2: Find the prime factorization of 5735
5735 = 5 x 31 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32867285 = 5 x 11 x 31 x 37 x 521
Step 4: Therefore, the least common multiple of 5731 and 5735 is 32867285.