Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5736 and 5743 the smallest integer that is 32941848 that is divisible by both numbers.
Least Common Multiple (LCM) of 5736 and 5743 is 32941848.
LCM(5736,5743) = 32941848
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5736 and 5743. First we will calculate the prime factors of 5736 and 5743.
Prime Factorization of 5736
2 | 5736 |
2 | 2868 |
2 | 1434 |
3 | 717 |
239 | 239 |
1 |
Prime factors of 5736 are 2, 3,239. Prime factorization of 5736 in exponential form is:
5736 = 23×31×2391
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 5736 and 5743.
LCM(5736,5743) = 23×31×2391×57431
LCM(5736,5743) = 32941848
Factors of 5736
List of positive integer factors of 5736 that divides 5736 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736
Factors of 5743
List of positive integer factors of 5743 that divides 5743 without a remainder.
1, 5743
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5736 and 5743, than apply into the LCM equation.
GCF(5736,5743) = 1
LCM(5736,5743) = ( 5736 × 5743) / 1
LCM(5736,5743) = 32941848 / 1
LCM(5736,5743) = 32941848
(i) The LCM of 5743 and 5736 is associative
LCM of 5736 and 5743 = LCM of 5743 and 5736
1. What is the LCM of 5736 and 5743?
Answer: LCM of 5736 and 5743 is 32941848.
2. What are the Factors of 5736?
Answer: Factors of 5736 are 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736. There are 16 integers that are factors of 5736. The greatest factor of 5736 is 5736.
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 5736 and 5743?
Answer:
Least Common Multiple of 5736 and 5743 = 32941848
Step 1: Find the prime factorization of 5736
5736 = 2 x 2 x 2 x 3 x 239
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 = 32941848 = 2 x 2 x 2 x 3 x 239 x 5743
Step 4: Therefore, the least common multiple of 5736 and 5743 is 32941848.