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 5721 the smallest integer that is 32684073 that is divisible by both numbers.
Least Common Multiple (LCM) of 5713 and 5721 is 32684073.
LCM(5713,5721) = 32684073
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 5721. First we will calculate the prime factors of 5713 and 5721.
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 5721
3 | 5721 |
1907 | 1907 |
1 |
Prime factors of 5721 are 3,1907. Prime factorization of 5721 in exponential form is:
5721 = 31×19071
Now multiplying the highest exponent prime factors to calculate the LCM of 5713 and 5721.
LCM(5713,5721) = 31×291×1971×19071
LCM(5713,5721) = 32684073
Factors of 5713
List of positive integer factors of 5713 that divides 5713 without a remainder.
1, 29, 197, 5713
Factors of 5721
List of positive integer factors of 5721 that divides 5721 without a remainder.
1, 3, 1907, 5721
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5713 and 5721, than apply into the LCM equation.
GCF(5713,5721) = 1
LCM(5713,5721) = ( 5713 × 5721) / 1
LCM(5713,5721) = 32684073 / 1
LCM(5713,5721) = 32684073
(i) The LCM of 5721 and 5713 is associative
LCM of 5713 and 5721 = LCM of 5721 and 5713
1. What is the LCM of 5713 and 5721?
Answer: LCM of 5713 and 5721 is 32684073.
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 5721?
Answer: Factors of 5721 are 1, 3, 1907, 5721. There are 4 integers that are factors of 5721. The greatest factor of 5721 is 5721.
4. How to Find the LCM of 5713 and 5721?
Answer:
Least Common Multiple of 5713 and 5721 = 32684073
Step 1: Find the prime factorization of 5713
5713 = 29 x 197
Step 2: Find the prime factorization of 5721
5721 = 3 x 1907
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32684073 = 3 x 29 x 197 x 1907
Step 4: Therefore, the least common multiple of 5713 and 5721 is 32684073.