Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5757 and 5763 the smallest integer that is 11059197 that is divisible by both numbers.
Least Common Multiple (LCM) of 5757 and 5763 is 11059197.
LCM(5757,5763) = 11059197
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 5757 and 5763. First we will calculate the prime factors of 5757 and 5763.
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
Prime Factorization of 5763
3 | 5763 |
17 | 1921 |
113 | 113 |
1 |
Prime factors of 5763 are 3, 17,113. Prime factorization of 5763 in exponential form is:
5763 = 31×171×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 5757 and 5763.
LCM(5757,5763) = 31×171×191×1011×1131
LCM(5757,5763) = 11059197
Factors of 5757
List of positive integer factors of 5757 that divides 5757 without a remainder.
1, 3, 19, 57, 101, 303, 1919, 5757
Factors of 5763
List of positive integer factors of 5763 that divides 5763 without a remainder.
1, 3, 17, 51, 113, 339, 1921, 5763
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5757 and 5763, than apply into the LCM equation.
GCF(5757,5763) = 3
LCM(5757,5763) = ( 5757 × 5763) / 3
LCM(5757,5763) = 33177591 / 3
LCM(5757,5763) = 11059197
(i) The LCM of 5763 and 5757 is associative
LCM of 5757 and 5763 = LCM of 5763 and 5757
1. What is the LCM of 5757 and 5763?
Answer: LCM of 5757 and 5763 is 11059197.
2. 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.
3. What are the Factors of 5763?
Answer: Factors of 5763 are 1, 3, 17, 51, 113, 339, 1921, 5763. There are 8 integers that are factors of 5763. The greatest factor of 5763 is 5763.
4. How to Find the LCM of 5757 and 5763?
Answer:
Least Common Multiple of 5757 and 5763 = 11059197
Step 1: Find the prime factorization of 5757
5757 = 3 x 19 x 101
Step 2: Find the prime factorization of 5763
5763 = 3 x 17 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11059197 = 3 x 17 x 19 x 101 x 113
Step 4: Therefore, the least common multiple of 5757 and 5763 is 11059197.