Least Common Multiple of 5747 and 5754
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 5754 the smallest integer that is 4724034 that is divisible by both numbers.
Least Common Multiple (LCM) of 5747 and 5754 is 4724034.
LCM(5747,5754) = 4724034
LCM of 5747 and 5754
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5747 and 5754 by Prime method
- Least Common Multiple of 5747 and 5754 with GCF Formula
LCM of 5747 and 5754 is 4724034
Least common multiple can be found by multiplying the highest exponent prime factors of 5747 and 5754. First we will calculate the prime factors of 5747 and 5754.
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 5754
| 2 | 5754 |
| 3 | 2877 |
| 7 | 959 |
| 137 | 137 |
| 1 |
Prime factors of 5754 are 2, 3, 7,137. Prime factorization of 5754 in exponential form is:
5754 = 21×31×71×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 5747 and 5754.
LCM(5747,5754) = 21×31×71×1371×8211
LCM(5747,5754) = 4724034
Factors of 5747
List of positive integer factors of 5747 that divides 5747 without a remainder.
1, 7, 821, 5747
Factors of 5754
List of positive integer factors of 5754 that divides 5754 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754
Least Common Multiple of 5747 and 5754 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 5754, than apply into the LCM equation.
GCF(5747,5754) = 7
LCM(5747,5754) = ( 5747 × 5754) / 7
LCM(5747,5754) = 33068238 / 7
LCM(5747,5754) = 4724034
Properties of LCM 5747 and 5754
(i) The LCM of 5754 and 5747 is associative
LCM of 5747 and 5754 = LCM of 5754 and 5747
Related Least Common Multiples of 5747
Related Least Common Multiples of 5754
Frequently Asked Questions on LCM of 5747 and 5754
1. What is the LCM of 5747 and 5754?
Answer: LCM of 5747 and 5754 is 4724034.
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 5754?
Answer: Factors of 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754. There are 16 integers that are factors of 5754. The greatest factor of 5754 is 5754.
4. How to Find the LCM of 5747 and 5754?
Answer:
Least Common Multiple of 5747 and 5754 = 4724034
Step 1: Find the prime factorization of 5747
5747 = 7 x 821
Step 2: Find the prime factorization of 5754
5754 = 2 x 3 x 7 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4724034 = 2 x 3 x 7 x 137 x 821
Step 4: Therefore, the least common multiple of 5747 and 5754 is 4724034.