Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5713 and 5718 the smallest integer that is 32666934 that is divisible by both numbers.
Least Common Multiple (LCM) of 5713 and 5718 is 32666934.
LCM(5713,5718) = 32666934
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 5713 and 5718. First we will calculate the prime factors of 5713 and 5718.
Prime Factorization of 5713
29 | 5713 |
197 | 197 |
1 |
Prime factors of 5713 are 29,197. Prime factorization of 5713 in exponential form is:
5713 = 291×1971
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 5713 and 5718.
LCM(5713,5718) = 21×31×291×1971×9531
LCM(5713,5718) = 32666934
Factors of 5713
List of positive integer factors of 5713 that divides 5713 without a remainder.
1, 29, 197, 5713
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 5713 and 5718, than apply into the LCM equation.
GCF(5713,5718) = 1
LCM(5713,5718) = ( 5713 × 5718) / 1
LCM(5713,5718) = 32666934 / 1
LCM(5713,5718) = 32666934
(i) The LCM of 5718 and 5713 is associative
LCM of 5713 and 5718 = LCM of 5718 and 5713
1. What is the LCM of 5713 and 5718?
Answer: LCM of 5713 and 5718 is 32666934.
2. What are the Factors of 5713?
Answer: Factors of 5713 are 1, 29, 197, 5713. There are 4 integers that are factors of 5713. The greatest factor of 5713 is 5713.
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 5713 and 5718?
Answer:
Least Common Multiple of 5713 and 5718 = 32666934
Step 1: Find the prime factorization of 5713
5713 = 29 x 197
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 = 32666934 = 2 x 3 x 29 x 197 x 953
Step 4: Therefore, the least common multiple of 5713 and 5718 is 32666934.