Least Common Multiple of 5747 and 5751
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5747 and 5751 the smallest integer that is 33050997 that is divisible by both numbers.
Least Common Multiple (LCM) of 5747 and 5751 is 33050997.
LCM(5747,5751) = 33050997
LCM of 5747 and 5751
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5747 and 5751 by Prime method
- Least Common Multiple of 5747 and 5751 with GCF Formula
LCM of 5747 and 5751 is 33050997
Least common multiple can be found by multiplying the highest exponent prime factors of 5747 and 5751. First we will calculate the prime factors of 5747 and 5751.
Prime Factorization of 5747
| 7 | 5747 |
| 821 | 821 |
| 1 |
Prime factors of 5747 are 7,821. Prime factorization of 5747 in exponential form is:
5747 = 71×8211
Prime Factorization of 5751
| 3 | 5751 |
| 3 | 1917 |
| 3 | 639 |
| 3 | 213 |
| 71 | 71 |
| 1 |
Prime factors of 5751 are 3,71. Prime factorization of 5751 in exponential form is:
5751 = 34×711
Now multiplying the highest exponent prime factors to calculate the LCM of 5747 and 5751.
LCM(5747,5751) = 34×71×711×8211
LCM(5747,5751) = 33050997
Factors of 5747
List of positive integer factors of 5747 that divides 5747 without a remainder.
1, 7, 821, 5747
Factors of 5751
List of positive integer factors of 5751 that divides 5751 without a remainder.
1, 3, 9, 27, 71, 81, 213, 639, 1917, 5751
Least Common Multiple of 5747 and 5751 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5747 and 5751, than apply into the LCM equation.
GCF(5747,5751) = 1
LCM(5747,5751) = ( 5747 × 5751) / 1
LCM(5747,5751) = 33050997 / 1
LCM(5747,5751) = 33050997
Properties of LCM 5747 and 5751
(i) The LCM of 5751 and 5747 is associative
LCM of 5747 and 5751 = LCM of 5751 and 5747
Related Least Common Multiples of 5747
Related Least Common Multiples of 5751
Frequently Asked Questions on LCM of 5747 and 5751
1. What is the LCM of 5747 and 5751?
Answer: LCM of 5747 and 5751 is 33050997.
2. What are the Factors of 5747?
Answer: Factors of 5747 are 1, 7, 821, 5747. There are 4 integers that are factors of 5747. The greatest factor of 5747 is 5747.
3. What are the Factors of 5751?
Answer: Factors of 5751 are 1, 3, 9, 27, 71, 81, 213, 639, 1917, 5751. There are 10 integers that are factors of 5751. The greatest factor of 5751 is 5751.
4. How to Find the LCM of 5747 and 5751?
Answer:
Least Common Multiple of 5747 and 5751 = 33050997
Step 1: Find the prime factorization of 5747
5747 = 7 x 821
Step 2: Find the prime factorization of 5751
5751 = 3 x 3 x 3 x 3 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33050997 = 3 x 3 x 3 x 3 x 7 x 71 x 821
Step 4: Therefore, the least common multiple of 5747 and 5751 is 33050997.