Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 568 and 569 the smallest integer that is 323192 that is divisible by both numbers.
Least Common Multiple (LCM) of 568 and 569 is 323192.
LCM(568,569) = 323192
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 568 and 569. First we will calculate the prime factors of 568 and 569.
Prime Factorization of 568
2 | 568 |
2 | 284 |
2 | 142 |
71 | 71 |
1 |
Prime factors of 568 are 2,71. Prime factorization of 568 in exponential form is:
568 = 23×711
Prime Factorization of 569
569 | 569 |
1 |
Prime factors of 569 are 569. Prime factorization of 569 in exponential form is:
569 = 5691
Now multiplying the highest exponent prime factors to calculate the LCM of 568 and 569.
LCM(568,569) = 23×711×5691
LCM(568,569) = 323192
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1, 569
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 568 and 569, than apply into the LCM equation.
GCF(568,569) = 1
LCM(568,569) = ( 568 × 569) / 1
LCM(568,569) = 323192 / 1
LCM(568,569) = 323192
(i) The LCM of 569 and 568 is associative
LCM of 568 and 569 = LCM of 569 and 568
1. What is the LCM of 568 and 569?
Answer: LCM of 568 and 569 is 323192.
2. What are the Factors of 568?
Answer: Factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568. There are 8 integers that are factors of 568. The greatest factor of 568 is 568.
3. What are the Factors of 569?
Answer: Factors of 569 are 1, 569. There are 2 integers that are factors of 569. The greatest factor of 569 is 569.
4. How to Find the LCM of 568 and 569?
Answer:
Least Common Multiple of 568 and 569 = 323192
Step 1: Find the prime factorization of 568
568 = 2 x 2 x 2 x 71
Step 2: Find the prime factorization of 569
569 = 569
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 323192 = 2 x 2 x 2 x 71 x 569
Step 4: Therefore, the least common multiple of 568 and 569 is 323192.