Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5752 and 5756 the smallest integer that is 8277128 that is divisible by both numbers.
Least Common Multiple (LCM) of 5752 and 5756 is 8277128.
LCM(5752,5756) = 8277128
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 5752 and 5756. First we will calculate the prime factors of 5752 and 5756.
Prime Factorization of 5752
2 | 5752 |
2 | 2876 |
2 | 1438 |
719 | 719 |
1 |
Prime factors of 5752 are 2,719. Prime factorization of 5752 in exponential form is:
5752 = 23×7191
Prime Factorization of 5756
2 | 5756 |
2 | 2878 |
1439 | 1439 |
1 |
Prime factors of 5756 are 2,1439. Prime factorization of 5756 in exponential form is:
5756 = 22×14391
Now multiplying the highest exponent prime factors to calculate the LCM of 5752 and 5756.
LCM(5752,5756) = 23×7191×14391
LCM(5752,5756) = 8277128
Factors of 5752
List of positive integer factors of 5752 that divides 5752 without a remainder.
1, 2, 4, 8, 719, 1438, 2876, 5752
Factors of 5756
List of positive integer factors of 5756 that divides 5756 without a remainder.
1, 2, 4, 1439, 2878, 5756
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5752 and 5756, than apply into the LCM equation.
GCF(5752,5756) = 4
LCM(5752,5756) = ( 5752 × 5756) / 4
LCM(5752,5756) = 33108512 / 4
LCM(5752,5756) = 8277128
(i) The LCM of 5756 and 5752 is associative
LCM of 5752 and 5756 = LCM of 5756 and 5752
1. What is the LCM of 5752 and 5756?
Answer: LCM of 5752 and 5756 is 8277128.
2. What are the Factors of 5752?
Answer: Factors of 5752 are 1, 2, 4, 8, 719, 1438, 2876, 5752. There are 8 integers that are factors of 5752. The greatest factor of 5752 is 5752.
3. What are the Factors of 5756?
Answer: Factors of 5756 are 1, 2, 4, 1439, 2878, 5756. There are 6 integers that are factors of 5756. The greatest factor of 5756 is 5756.
4. How to Find the LCM of 5752 and 5756?
Answer:
Least Common Multiple of 5752 and 5756 = 8277128
Step 1: Find the prime factorization of 5752
5752 = 2 x 2 x 2 x 719
Step 2: Find the prime factorization of 5756
5756 = 2 x 2 x 1439
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8277128 = 2 x 2 x 2 x 719 x 1439
Step 4: Therefore, the least common multiple of 5752 and 5756 is 8277128.