Least Common Multiple of 5735 and 5741
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5735 and 5741 the smallest integer that is 32924635 that is divisible by both numbers.
Least Common Multiple (LCM) of 5735 and 5741 is 32924635.
LCM(5735,5741) = 32924635
LCM of 5735 and 5741
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5735 and 5741 by Prime method
- Least Common Multiple of 5735 and 5741 with GCF Formula
LCM of 5735 and 5741 is 32924635
Least common multiple can be found by multiplying the highest exponent prime factors of 5735 and 5741. First we will calculate the prime factors of 5735 and 5741.
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
Prime Factorization of 5741
| 5741 | 5741 |
| 1 |
Prime factors of 5741 are 5741. Prime factorization of 5741 in exponential form is:
5741 = 57411
Now multiplying the highest exponent prime factors to calculate the LCM of 5735 and 5741.
LCM(5735,5741) = 51×311×371×57411
LCM(5735,5741) = 32924635
Factors of 5735
List of positive integer factors of 5735 that divides 5735 without a remainder.
1, 5, 31, 37, 155, 185, 1147, 5735
Factors of 5741
List of positive integer factors of 5741 that divides 5741 without a remainder.
1, 5741
Least Common Multiple of 5735 and 5741 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5735 and 5741, than apply into the LCM equation.
GCF(5735,5741) = 1
LCM(5735,5741) = ( 5735 × 5741) / 1
LCM(5735,5741) = 32924635 / 1
LCM(5735,5741) = 32924635
Properties of LCM 5735 and 5741
(i) The LCM of 5741 and 5735 is associative
LCM of 5735 and 5741 = LCM of 5741 and 5735
Related Least Common Multiples of 5735
Related Least Common Multiples of 5741
Frequently Asked Questions on LCM of 5735 and 5741
1. What is the LCM of 5735 and 5741?
Answer: LCM of 5735 and 5741 is 32924635.
2. 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.
3. What are the Factors of 5741?
Answer: Factors of 5741 are 1, 5741. There are 2 integers that are factors of 5741. The greatest factor of 5741 is 5741.
4. How to Find the LCM of 5735 and 5741?
Answer:
Least Common Multiple of 5735 and 5741 = 32924635
Step 1: Find the prime factorization of 5735
5735 = 5 x 31 x 37
Step 2: Find the prime factorization of 5741
5741 = 5741
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32924635 = 5 x 31 x 37 x 5741
Step 4: Therefore, the least common multiple of 5735 and 5741 is 32924635.