Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5693 and 5697 the smallest integer that is 32433021 that is divisible by both numbers.
Least Common Multiple (LCM) of 5693 and 5697 is 32433021.
LCM(5693,5697) = 32433021
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 5693 and 5697. First we will calculate the prime factors of 5693 and 5697.
Prime Factorization of 5693
5693 | 5693 |
1 |
Prime factors of 5693 are 5693. Prime factorization of 5693 in exponential form is:
5693 = 56931
Prime Factorization of 5697
3 | 5697 |
3 | 1899 |
3 | 633 |
211 | 211 |
1 |
Prime factors of 5697 are 3,211. Prime factorization of 5697 in exponential form is:
5697 = 33×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 5693 and 5697.
LCM(5693,5697) = 33×2111×56931
LCM(5693,5697) = 32433021
Factors of 5693
List of positive integer factors of 5693 that divides 5693 without a remainder.
1, 5693
Factors of 5697
List of positive integer factors of 5697 that divides 5697 without a remainder.
1, 3, 9, 27, 211, 633, 1899, 5697
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5693 and 5697, than apply into the LCM equation.
GCF(5693,5697) = 1
LCM(5693,5697) = ( 5693 × 5697) / 1
LCM(5693,5697) = 32433021 / 1
LCM(5693,5697) = 32433021
(i) The LCM of 5697 and 5693 is associative
LCM of 5693 and 5697 = LCM of 5697 and 5693
1. What is the LCM of 5693 and 5697?
Answer: LCM of 5693 and 5697 is 32433021.
2. What are the Factors of 5693?
Answer: Factors of 5693 are 1, 5693. There are 2 integers that are factors of 5693. The greatest factor of 5693 is 5693.
3. What are the Factors of 5697?
Answer: Factors of 5697 are 1, 3, 9, 27, 211, 633, 1899, 5697. There are 8 integers that are factors of 5697. The greatest factor of 5697 is 5697.
4. How to Find the LCM of 5693 and 5697?
Answer:
Least Common Multiple of 5693 and 5697 = 32433021
Step 1: Find the prime factorization of 5693
5693 = 5693
Step 2: Find the prime factorization of 5697
5697 = 3 x 3 x 3 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32433021 = 3 x 3 x 3 x 211 x 5693
Step 4: Therefore, the least common multiple of 5693 and 5697 is 32433021.