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 5739 the smallest integer that is 32913165 that is divisible by both numbers.
Least Common Multiple (LCM) of 5735 and 5739 is 32913165.
LCM(5735,5739) = 32913165
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5735 and 5739. First we will calculate the prime factors of 5735 and 5739.
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 5739
3 | 5739 |
1913 | 1913 |
1 |
Prime factors of 5739 are 3,1913. Prime factorization of 5739 in exponential form is:
5739 = 31×19131
Now multiplying the highest exponent prime factors to calculate the LCM of 5735 and 5739.
LCM(5735,5739) = 31×51×311×371×19131
LCM(5735,5739) = 32913165
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 5739
List of positive integer factors of 5739 that divides 5739 without a remainder.
1, 3, 1913, 5739
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5735 and 5739, than apply into the LCM equation.
GCF(5735,5739) = 1
LCM(5735,5739) = ( 5735 × 5739) / 1
LCM(5735,5739) = 32913165 / 1
LCM(5735,5739) = 32913165
(i) The LCM of 5739 and 5735 is associative
LCM of 5735 and 5739 = LCM of 5739 and 5735
1. What is the LCM of 5735 and 5739?
Answer: LCM of 5735 and 5739 is 32913165.
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 5739?
Answer: Factors of 5739 are 1, 3, 1913, 5739. There are 4 integers that are factors of 5739. The greatest factor of 5739 is 5739.
4. How to Find the LCM of 5735 and 5739?
Answer:
Least Common Multiple of 5735 and 5739 = 32913165
Step 1: Find the prime factorization of 5735
5735 = 5 x 31 x 37
Step 2: Find the prime factorization of 5739
5739 = 3 x 1913
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32913165 = 3 x 5 x 31 x 37 x 1913
Step 4: Therefore, the least common multiple of 5735 and 5739 is 32913165.