Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8653 and 8658 the smallest integer that is 74917674 that is divisible by both numbers.
Least Common Multiple (LCM) of 8653 and 8658 is 74917674.
LCM(8653,8658) = 74917674
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 8653 and 8658. First we will calculate the prime factors of 8653 and 8658.
Prime Factorization of 8653
17 | 8653 |
509 | 509 |
1 |
Prime factors of 8653 are 17,509. Prime factorization of 8653 in exponential form is:
8653 = 171×5091
Prime Factorization of 8658
2 | 8658 |
3 | 4329 |
3 | 1443 |
13 | 481 |
37 | 37 |
1 |
Prime factors of 8658 are 2, 3, 13,37. Prime factorization of 8658 in exponential form is:
8658 = 21×32×131×371
Now multiplying the highest exponent prime factors to calculate the LCM of 8653 and 8658.
LCM(8653,8658) = 21×32×131×171×371×5091
LCM(8653,8658) = 74917674
Factors of 8653
List of positive integer factors of 8653 that divides 8653 without a remainder.
1, 17, 509, 8653
Factors of 8658
List of positive integer factors of 8658 that divides 8658 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8653 and 8658, than apply into the LCM equation.
GCF(8653,8658) = 1
LCM(8653,8658) = ( 8653 × 8658) / 1
LCM(8653,8658) = 74917674 / 1
LCM(8653,8658) = 74917674
(i) The LCM of 8658 and 8653 is associative
LCM of 8653 and 8658 = LCM of 8658 and 8653
1. What is the LCM of 8653 and 8658?
Answer: LCM of 8653 and 8658 is 74917674.
2. What are the Factors of 8653?
Answer: Factors of 8653 are 1, 17, 509, 8653. There are 4 integers that are factors of 8653. The greatest factor of 8653 is 8653.
3. What are the Factors of 8658?
Answer: Factors of 8658 are 1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658. There are 24 integers that are factors of 8658. The greatest factor of 8658 is 8658.
4. How to Find the LCM of 8653 and 8658?
Answer:
Least Common Multiple of 8653 and 8658 = 74917674
Step 1: Find the prime factorization of 8653
8653 = 17 x 509
Step 2: Find the prime factorization of 8658
8658 = 2 x 3 x 3 x 13 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74917674 = 2 x 3 x 3 x 13 x 17 x 37 x 509
Step 4: Therefore, the least common multiple of 8653 and 8658 is 74917674.