Least Common Multiple of 8658 and 8663
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8658 and 8663 the smallest integer that is 75004254 that is divisible by both numbers.
Least Common Multiple (LCM) of 8658 and 8663 is 75004254.
LCM(8658,8663) = 75004254
LCM of 8658 and 8663
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8658 and 8663 by Prime method
- Least Common Multiple of 8658 and 8663 with GCF Formula
LCM of 8658 and 8663 is 75004254
Least common multiple can be found by multiplying the highest exponent prime factors of 8658 and 8663. First we will calculate the prime factors of 8658 and 8663.
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
Prime Factorization of 8663
| 8663 | 8663 |
| 1 |
Prime factors of 8663 are 8663. Prime factorization of 8663 in exponential form is:
8663 = 86631
Now multiplying the highest exponent prime factors to calculate the LCM of 8658 and 8663.
LCM(8658,8663) = 21×32×131×371×86631
LCM(8658,8663) = 75004254
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
Factors of 8663
List of positive integer factors of 8663 that divides 8663 without a remainder.
1, 8663
Least Common Multiple of 8658 and 8663 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8658 and 8663, than apply into the LCM equation.
GCF(8658,8663) = 1
LCM(8658,8663) = ( 8658 × 8663) / 1
LCM(8658,8663) = 75004254 / 1
LCM(8658,8663) = 75004254
Properties of LCM 8658 and 8663
(i) The LCM of 8663 and 8658 is associative
LCM of 8658 and 8663 = LCM of 8663 and 8658
Related Least Common Multiples of 8658
Related Least Common Multiples of 8663
Frequently Asked Questions on LCM of 8658 and 8663
1. What is the LCM of 8658 and 8663?
Answer: LCM of 8658 and 8663 is 75004254.
2. 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.
3. What are the Factors of 8663?
Answer: Factors of 8663 are 1, 8663. There are 2 integers that are factors of 8663. The greatest factor of 8663 is 8663.
4. How to Find the LCM of 8658 and 8663?
Answer:
Least Common Multiple of 8658 and 8663 = 75004254
Step 1: Find the prime factorization of 8658
8658 = 2 x 3 x 3 x 13 x 37
Step 2: Find the prime factorization of 8663
8663 = 8663
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75004254 = 2 x 3 x 3 x 13 x 37 x 8663
Step 4: Therefore, the least common multiple of 8658 and 8663 is 75004254.