Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5732 and 5739 the smallest integer that is 32895948 that is divisible by both numbers.
Least Common Multiple (LCM) of 5732 and 5739 is 32895948.
LCM(5732,5739) = 32895948
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 5732 and 5739. First we will calculate the prime factors of 5732 and 5739.
Prime Factorization of 5732
2 | 5732 |
2 | 2866 |
1433 | 1433 |
1 |
Prime factors of 5732 are 2,1433. Prime factorization of 5732 in exponential form is:
5732 = 22×14331
Prime Factorization of 5739
3 | 5739 |
1913 | 1913 |
1 |
Prime factors of 5739 are 3,1913. Prime factorization of 5739 in exponential form is:
5739 = 31×19131
Now multiplying the highest exponent prime factors to calculate the LCM of 5732 and 5739.
LCM(5732,5739) = 22×31×14331×19131
LCM(5732,5739) = 32895948
Factors of 5732
List of positive integer factors of 5732 that divides 5732 without a remainder.
1, 2, 4, 1433, 2866, 5732
Factors of 5739
List of positive integer factors of 5739 that divides 5739 without a remainder.
1, 3, 1913, 5739
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5732 and 5739, than apply into the LCM equation.
GCF(5732,5739) = 1
LCM(5732,5739) = ( 5732 × 5739) / 1
LCM(5732,5739) = 32895948 / 1
LCM(5732,5739) = 32895948
(i) The LCM of 5739 and 5732 is associative
LCM of 5732 and 5739 = LCM of 5739 and 5732
1. What is the LCM of 5732 and 5739?
Answer: LCM of 5732 and 5739 is 32895948.
2. What are the Factors of 5732?
Answer: Factors of 5732 are 1, 2, 4, 1433, 2866, 5732. There are 6 integers that are factors of 5732. The greatest factor of 5732 is 5732.
3. What are the Factors of 5739?
Answer: Factors of 5739 are 1, 3, 1913, 5739. There are 4 integers that are factors of 5739. The greatest factor of 5739 is 5739.
4. How to Find the LCM of 5732 and 5739?
Answer:
Least Common Multiple of 5732 and 5739 = 32895948
Step 1: Find the prime factorization of 5732
5732 = 2 x 2 x 1433
Step 2: Find the prime factorization of 5739
5739 = 3 x 1913
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32895948 = 2 x 2 x 3 x 1433 x 1913
Step 4: Therefore, the least common multiple of 5732 and 5739 is 32895948.