Least Common Multiple of 8633 and 8639
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8633 and 8639 the smallest integer that is 74580487 that is divisible by both numbers.
Least Common Multiple (LCM) of 8633 and 8639 is 74580487.
LCM(8633,8639) = 74580487
LCM of 8633 and 8639
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8633 and 8639 by Prime method
- Least Common Multiple of 8633 and 8639 with GCF Formula
LCM of 8633 and 8639 is 74580487
Least common multiple can be found by multiplying the highest exponent prime factors of 8633 and 8639. First we will calculate the prime factors of 8633 and 8639.
Prime Factorization of 8633
| 89 | 8633 |
| 97 | 97 |
| 1 |
Prime factors of 8633 are 89,97. Prime factorization of 8633 in exponential form is:
8633 = 891×971
Prime Factorization of 8639
| 53 | 8639 |
| 163 | 163 |
| 1 |
Prime factors of 8639 are 53,163. Prime factorization of 8639 in exponential form is:
8639 = 531×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 8633 and 8639.
LCM(8633,8639) = 531×891×971×1631
LCM(8633,8639) = 74580487
Factors of 8633
List of positive integer factors of 8633 that divides 8633 without a remainder.
1, 89, 97, 8633
Factors of 8639
List of positive integer factors of 8639 that divides 8639 without a remainder.
1, 53, 163, 8639
Least Common Multiple of 8633 and 8639 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8633 and 8639, than apply into the LCM equation.
GCF(8633,8639) = 1
LCM(8633,8639) = ( 8633 × 8639) / 1
LCM(8633,8639) = 74580487 / 1
LCM(8633,8639) = 74580487
Properties of LCM 8633 and 8639
(i) The LCM of 8639 and 8633 is associative
LCM of 8633 and 8639 = LCM of 8639 and 8633
Related Least Common Multiples of 8633
Related Least Common Multiples of 8639
Frequently Asked Questions on LCM of 8633 and 8639
1. What is the LCM of 8633 and 8639?
Answer: LCM of 8633 and 8639 is 74580487.
2. What are the Factors of 8633?
Answer: Factors of 8633 are 1, 89, 97, 8633. There are 4 integers that are factors of 8633. The greatest factor of 8633 is 8633.
3. What are the Factors of 8639?
Answer: Factors of 8639 are 1, 53, 163, 8639. There are 4 integers that are factors of 8639. The greatest factor of 8639 is 8639.
4. How to Find the LCM of 8633 and 8639?
Answer:
Least Common Multiple of 8633 and 8639 = 74580487
Step 1: Find the prime factorization of 8633
8633 = 89 x 97
Step 2: Find the prime factorization of 8639
8639 = 53 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74580487 = 53 x 89 x 97 x 163
Step 4: Therefore, the least common multiple of 8633 and 8639 is 74580487.