Least Common Multiple of 5737 and 5742
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5737 and 5742 the smallest integer that is 32941854 that is divisible by both numbers.
Least Common Multiple (LCM) of 5737 and 5742 is 32941854.
LCM(5737,5742) = 32941854
LCM of 5737 and 5742
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5737 and 5742 by Prime method
- Least Common Multiple of 5737 and 5742 with GCF Formula
LCM of 5737 and 5742 is 32941854
Least common multiple can be found by multiplying the highest exponent prime factors of 5737 and 5742. First we will calculate the prime factors of 5737 and 5742.
Prime Factorization of 5737
| 5737 | 5737 |
| 1 |
Prime factors of 5737 are 5737. Prime factorization of 5737 in exponential form is:
5737 = 57371
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5737 and 5742.
LCM(5737,5742) = 21×32×111×291×57371
LCM(5737,5742) = 32941854
Factors of 5737
List of positive integer factors of 5737 that divides 5737 without a remainder.
1, 5737
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
Least Common Multiple of 5737 and 5742 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5737 and 5742, than apply into the LCM equation.
GCF(5737,5742) = 1
LCM(5737,5742) = ( 5737 × 5742) / 1
LCM(5737,5742) = 32941854 / 1
LCM(5737,5742) = 32941854
Properties of LCM 5737 and 5742
(i) The LCM of 5742 and 5737 is associative
LCM of 5737 and 5742 = LCM of 5742 and 5737
Related Least Common Multiples of 5737
Related Least Common Multiples of 5742
Frequently Asked Questions on LCM of 5737 and 5742
1. What is the LCM of 5737 and 5742?
Answer: LCM of 5737 and 5742 is 32941854.
2. What are the Factors of 5737?
Answer: Factors of 5737 are 1, 5737. There are 2 integers that are factors of 5737. The greatest factor of 5737 is 5737.
3. 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.
4. How to Find the LCM of 5737 and 5742?
Answer:
Least Common Multiple of 5737 and 5742 = 32941854
Step 1: Find the prime factorization of 5737
5737 = 5737
Step 2: Find the prime factorization of 5742
5742 = 2 x 3 x 3 x 11 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32941854 = 2 x 3 x 3 x 11 x 29 x 5737
Step 4: Therefore, the least common multiple of 5737 and 5742 is 32941854.