Least Common Multiple of 5738 and 5743
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5738 and 5743 the smallest integer that is 32953334 that is divisible by both numbers.
Least Common Multiple (LCM) of 5738 and 5743 is 32953334.
LCM(5738,5743) = 32953334
LCM of 5738 and 5743
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5738 and 5743 by Prime method
- Least Common Multiple of 5738 and 5743 with GCF Formula
LCM of 5738 and 5743 is 32953334
Least common multiple can be found by multiplying the highest exponent prime factors of 5738 and 5743. First we will calculate the prime factors of 5738 and 5743.
Prime Factorization of 5738
| 2 | 5738 |
| 19 | 2869 |
| 151 | 151 |
| 1 |
Prime factors of 5738 are 2, 19,151. Prime factorization of 5738 in exponential form is:
5738 = 21×191×1511
Prime Factorization of 5743
| 5743 | 5743 |
| 1 |
Prime factors of 5743 are 5743. Prime factorization of 5743 in exponential form is:
5743 = 57431
Now multiplying the highest exponent prime factors to calculate the LCM of 5738 and 5743.
LCM(5738,5743) = 21×191×1511×57431
LCM(5738,5743) = 32953334
Factors of 5738
List of positive integer factors of 5738 that divides 5738 without a remainder.
1, 2, 19, 38, 151, 302, 2869, 5738
Factors of 5743
List of positive integer factors of 5743 that divides 5743 without a remainder.
1, 5743
Least Common Multiple of 5738 and 5743 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5738 and 5743, than apply into the LCM equation.
GCF(5738,5743) = 1
LCM(5738,5743) = ( 5738 × 5743) / 1
LCM(5738,5743) = 32953334 / 1
LCM(5738,5743) = 32953334
Properties of LCM 5738 and 5743
(i) The LCM of 5743 and 5738 is associative
LCM of 5738 and 5743 = LCM of 5743 and 5738
Related Least Common Multiples of 5738
Related Least Common Multiples of 5743
Frequently Asked Questions on LCM of 5738 and 5743
1. What is the LCM of 5738 and 5743?
Answer: LCM of 5738 and 5743 is 32953334.
2. What are the Factors of 5738?
Answer: Factors of 5738 are 1, 2, 19, 38, 151, 302, 2869, 5738. There are 8 integers that are factors of 5738. The greatest factor of 5738 is 5738.
3. What are the Factors of 5743?
Answer: Factors of 5743 are 1, 5743. There are 2 integers that are factors of 5743. The greatest factor of 5743 is 5743.
4. How to Find the LCM of 5738 and 5743?
Answer:
Least Common Multiple of 5738 and 5743 = 32953334
Step 1: Find the prime factorization of 5738
5738 = 2 x 19 x 151
Step 2: Find the prime factorization of 5743
5743 = 5743
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32953334 = 2 x 19 x 151 x 5743
Step 4: Therefore, the least common multiple of 5738 and 5743 is 32953334.