Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5721 and 5725 the smallest integer that is 32752725 that is divisible by both numbers.
Least Common Multiple (LCM) of 5721 and 5725 is 32752725.
LCM(5721,5725) = 32752725
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 5721 and 5725. First we will calculate the prime factors of 5721 and 5725.
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
Prime Factorization of 5725
5 | 5725 |
5 | 1145 |
229 | 229 |
1 |
Prime factors of 5725 are 5,229. Prime factorization of 5725 in exponential form is:
5725 = 52×2291
Now multiplying the highest exponent prime factors to calculate the LCM of 5721 and 5725.
LCM(5721,5725) = 31×52×2291×19071
LCM(5721,5725) = 32752725
Factors of 5721
List of positive integer factors of 5721 that divides 5721 without a remainder.
1, 3, 1907, 5721
Factors of 5725
List of positive integer factors of 5725 that divides 5725 without a remainder.
1, 5, 25, 229, 1145, 5725
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5721 and 5725, than apply into the LCM equation.
GCF(5721,5725) = 1
LCM(5721,5725) = ( 5721 × 5725) / 1
LCM(5721,5725) = 32752725 / 1
LCM(5721,5725) = 32752725
(i) The LCM of 5725 and 5721 is associative
LCM of 5721 and 5725 = LCM of 5725 and 5721
1. What is the LCM of 5721 and 5725?
Answer: LCM of 5721 and 5725 is 32752725.
2. 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.
3. What are the Factors of 5725?
Answer: Factors of 5725 are 1, 5, 25, 229, 1145, 5725. There are 6 integers that are factors of 5725. The greatest factor of 5725 is 5725.
4. How to Find the LCM of 5721 and 5725?
Answer:
Least Common Multiple of 5721 and 5725 = 32752725
Step 1: Find the prime factorization of 5721
5721 = 3 x 1907
Step 2: Find the prime factorization of 5725
5725 = 5 x 5 x 229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32752725 = 3 x 5 x 5 x 229 x 1907
Step 4: Therefore, the least common multiple of 5721 and 5725 is 32752725.