Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5716 and 5718 the smallest integer that is 16342044 that is divisible by both numbers.
Least Common Multiple (LCM) of 5716 and 5718 is 16342044.
LCM(5716,5718) = 16342044
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 5716 and 5718. First we will calculate the prime factors of 5716 and 5718.
Prime Factorization of 5716
2 | 5716 |
2 | 2858 |
1429 | 1429 |
1 |
Prime factors of 5716 are 2,1429. Prime factorization of 5716 in exponential form is:
5716 = 22×14291
Prime Factorization of 5718
2 | 5718 |
3 | 2859 |
953 | 953 |
1 |
Prime factors of 5718 are 2, 3,953. Prime factorization of 5718 in exponential form is:
5718 = 21×31×9531
Now multiplying the highest exponent prime factors to calculate the LCM of 5716 and 5718.
LCM(5716,5718) = 22×31×9531×14291
LCM(5716,5718) = 16342044
Factors of 5716
List of positive integer factors of 5716 that divides 5716 without a remainder.
1, 2, 4, 1429, 2858, 5716
Factors of 5718
List of positive integer factors of 5718 that divides 5718 without a remainder.
1, 2, 3, 6, 953, 1906, 2859, 5718
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5716 and 5718, than apply into the LCM equation.
GCF(5716,5718) = 2
LCM(5716,5718) = ( 5716 × 5718) / 2
LCM(5716,5718) = 32684088 / 2
LCM(5716,5718) = 16342044
(i) The LCM of 5718 and 5716 is associative
LCM of 5716 and 5718 = LCM of 5718 and 5716
1. What is the LCM of 5716 and 5718?
Answer: LCM of 5716 and 5718 is 16342044.
2. What are the Factors of 5716?
Answer: Factors of 5716 are 1, 2, 4, 1429, 2858, 5716. There are 6 integers that are factors of 5716. The greatest factor of 5716 is 5716.
3. What are the Factors of 5718?
Answer: Factors of 5718 are 1, 2, 3, 6, 953, 1906, 2859, 5718. There are 8 integers that are factors of 5718. The greatest factor of 5718 is 5718.
4. How to Find the LCM of 5716 and 5718?
Answer:
Least Common Multiple of 5716 and 5718 = 16342044
Step 1: Find the prime factorization of 5716
5716 = 2 x 2 x 1429
Step 2: Find the prime factorization of 5718
5718 = 2 x 3 x 953
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16342044 = 2 x 2 x 3 x 953 x 1429
Step 4: Therefore, the least common multiple of 5716 and 5718 is 16342044.