Least Common Multiple of 5753 and 5757
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5753 and 5757 the smallest integer that is 33120021 that is divisible by both numbers.
Least Common Multiple (LCM) of 5753 and 5757 is 33120021.
LCM(5753,5757) = 33120021
LCM of 5753 and 5757
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5753 and 5757 by Prime method
- Least Common Multiple of 5753 and 5757 with GCF Formula
LCM of 5753 and 5757 is 33120021
Least common multiple can be found by multiplying the highest exponent prime factors of 5753 and 5757. First we will calculate the prime factors of 5753 and 5757.
Prime Factorization of 5753
| 11 | 5753 |
| 523 | 523 |
| 1 |
Prime factors of 5753 are 11,523. Prime factorization of 5753 in exponential form is:
5753 = 111×5231
Prime Factorization of 5757
| 3 | 5757 |
| 19 | 1919 |
| 101 | 101 |
| 1 |
Prime factors of 5757 are 3, 19,101. Prime factorization of 5757 in exponential form is:
5757 = 31×191×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 5753 and 5757.
LCM(5753,5757) = 31×111×191×1011×5231
LCM(5753,5757) = 33120021
Factors of 5753
List of positive integer factors of 5753 that divides 5753 without a remainder.
1, 11, 523, 5753
Factors of 5757
List of positive integer factors of 5757 that divides 5757 without a remainder.
1, 3, 19, 57, 101, 303, 1919, 5757
Least Common Multiple of 5753 and 5757 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5753 and 5757, than apply into the LCM equation.
GCF(5753,5757) = 1
LCM(5753,5757) = ( 5753 × 5757) / 1
LCM(5753,5757) = 33120021 / 1
LCM(5753,5757) = 33120021
Properties of LCM 5753 and 5757
(i) The LCM of 5757 and 5753 is associative
LCM of 5753 and 5757 = LCM of 5757 and 5753
Related Least Common Multiples of 5753
Related Least Common Multiples of 5757
Frequently Asked Questions on LCM of 5753 and 5757
1. What is the LCM of 5753 and 5757?
Answer: LCM of 5753 and 5757 is 33120021.
2. What are the Factors of 5753?
Answer: Factors of 5753 are 1, 11, 523, 5753. There are 4 integers that are factors of 5753. The greatest factor of 5753 is 5753.
3. What are the Factors of 5757?
Answer: Factors of 5757 are 1, 3, 19, 57, 101, 303, 1919, 5757. There are 8 integers that are factors of 5757. The greatest factor of 5757 is 5757.
4. How to Find the LCM of 5753 and 5757?
Answer:
Least Common Multiple of 5753 and 5757 = 33120021
Step 1: Find the prime factorization of 5753
5753 = 11 x 523
Step 2: Find the prime factorization of 5757
5757 = 3 x 19 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33120021 = 3 x 11 x 19 x 101 x 523
Step 4: Therefore, the least common multiple of 5753 and 5757 is 33120021.