Least Common Multiple of 5742 and 5749
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5742 and 5749 the smallest integer that is 33010758 that is divisible by both numbers.
Least Common Multiple (LCM) of 5742 and 5749 is 33010758.
LCM(5742,5749) = 33010758
LCM of 5742 and 5749
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5742 and 5749 by Prime method
- Least Common Multiple of 5742 and 5749 with GCF Formula
LCM of 5742 and 5749 is 33010758
Least common multiple can be found by multiplying the highest exponent prime factors of 5742 and 5749. First we will calculate the prime factors of 5742 and 5749.
Prime Factorization of 5742
| 2 | 5742 |
| 3 | 2871 |
| 3 | 957 |
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 5742 are 2, 3, 11,29. Prime factorization of 5742 in exponential form is:
5742 = 21×32×111×291
Prime Factorization of 5749
| 5749 | 5749 |
| 1 |
Prime factors of 5749 are 5749. Prime factorization of 5749 in exponential form is:
5749 = 57491
Now multiplying the highest exponent prime factors to calculate the LCM of 5742 and 5749.
LCM(5742,5749) = 21×32×111×291×57491
LCM(5742,5749) = 33010758
Factors of 5742
List of positive integer factors of 5742 that divides 5742 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 174, 198, 261, 319, 522, 638, 957, 1914, 2871, 5742
Factors of 5749
List of positive integer factors of 5749 that divides 5749 without a remainder.
1, 5749
Least Common Multiple of 5742 and 5749 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5742 and 5749, than apply into the LCM equation.
GCF(5742,5749) = 1
LCM(5742,5749) = ( 5742 × 5749) / 1
LCM(5742,5749) = 33010758 / 1
LCM(5742,5749) = 33010758
Properties of LCM 5742 and 5749
(i) The LCM of 5749 and 5742 is associative
LCM of 5742 and 5749 = LCM of 5749 and 5742
Related Least Common Multiples of 5742
Related Least Common Multiples of 5749
Frequently Asked Questions on LCM of 5742 and 5749
1. What is the LCM of 5742 and 5749?
Answer: LCM of 5742 and 5749 is 33010758.
2. What are the Factors of 5742?
Answer: Factors of 5742 are 1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 174, 198, 261, 319, 522, 638, 957, 1914, 2871, 5742. There are 24 integers that are factors of 5742. The greatest factor of 5742 is 5742.
3. What are the Factors of 5749?
Answer: Factors of 5749 are 1, 5749. There are 2 integers that are factors of 5749. The greatest factor of 5749 is 5749.
4. How to Find the LCM of 5742 and 5749?
Answer:
Least Common Multiple of 5742 and 5749 = 33010758
Step 1: Find the prime factorization of 5742
5742 = 2 x 3 x 3 x 11 x 29
Step 2: Find the prime factorization of 5749
5749 = 5749
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33010758 = 2 x 3 x 3 x 11 x 29 x 5749
Step 4: Therefore, the least common multiple of 5742 and 5749 is 33010758.