Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5683 and 5690 the smallest integer that is 32336270 that is divisible by both numbers.
Least Common Multiple (LCM) of 5683 and 5690 is 32336270.
LCM(5683,5690) = 32336270
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 5683 and 5690. First we will calculate the prime factors of 5683 and 5690.
Prime Factorization of 5683
5683 | 5683 |
1 |
Prime factors of 5683 are 5683. Prime factorization of 5683 in exponential form is:
5683 = 56831
Prime Factorization of 5690
2 | 5690 |
5 | 2845 |
569 | 569 |
1 |
Prime factors of 5690 are 2, 5,569. Prime factorization of 5690 in exponential form is:
5690 = 21×51×5691
Now multiplying the highest exponent prime factors to calculate the LCM of 5683 and 5690.
LCM(5683,5690) = 21×51×5691×56831
LCM(5683,5690) = 32336270
Factors of 5683
List of positive integer factors of 5683 that divides 5683 without a remainder.
1, 5683
Factors of 5690
List of positive integer factors of 5690 that divides 5690 without a remainder.
1, 2, 5, 10, 569, 1138, 2845, 5690
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5683 and 5690, than apply into the LCM equation.
GCF(5683,5690) = 1
LCM(5683,5690) = ( 5683 × 5690) / 1
LCM(5683,5690) = 32336270 / 1
LCM(5683,5690) = 32336270
(i) The LCM of 5690 and 5683 is associative
LCM of 5683 and 5690 = LCM of 5690 and 5683
1. What is the LCM of 5683 and 5690?
Answer: LCM of 5683 and 5690 is 32336270.
2. What are the Factors of 5683?
Answer: Factors of 5683 are 1, 5683. There are 2 integers that are factors of 5683. The greatest factor of 5683 is 5683.
3. What are the Factors of 5690?
Answer: Factors of 5690 are 1, 2, 5, 10, 569, 1138, 2845, 5690. There are 8 integers that are factors of 5690. The greatest factor of 5690 is 5690.
4. How to Find the LCM of 5683 and 5690?
Answer:
Least Common Multiple of 5683 and 5690 = 32336270
Step 1: Find the prime factorization of 5683
5683 = 5683
Step 2: Find the prime factorization of 5690
5690 = 2 x 5 x 569
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32336270 = 2 x 5 x 569 x 5683
Step 4: Therefore, the least common multiple of 5683 and 5690 is 32336270.