Least Common Multiple of 8634 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 8634 and 8639 the smallest integer that is 74589126 that is divisible by both numbers.
Least Common Multiple (LCM) of 8634 and 8639 is 74589126.
LCM(8634,8639) = 74589126
LCM of 8634 and 8639
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8634 and 8639 by Prime method
- Least Common Multiple of 8634 and 8639 with GCF Formula
LCM of 8634 and 8639 is 74589126
Least common multiple can be found by multiplying the highest exponent prime factors of 8634 and 8639. First we will calculate the prime factors of 8634 and 8639.
Prime Factorization of 8634
| 2 | 8634 |
| 3 | 4317 |
| 1439 | 1439 |
| 1 |
Prime factors of 8634 are 2, 3,1439. Prime factorization of 8634 in exponential form is:
8634 = 21×31×14391
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 8634 and 8639.
LCM(8634,8639) = 21×31×531×1631×14391
LCM(8634,8639) = 74589126
Factors of 8634
List of positive integer factors of 8634 that divides 8634 without a remainder.
1, 2, 3, 6, 1439, 2878, 4317, 8634
Factors of 8639
List of positive integer factors of 8639 that divides 8639 without a remainder.
1, 53, 163, 8639
Least Common Multiple of 8634 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 8634 and 8639, than apply into the LCM equation.
GCF(8634,8639) = 1
LCM(8634,8639) = ( 8634 × 8639) / 1
LCM(8634,8639) = 74589126 / 1
LCM(8634,8639) = 74589126
Properties of LCM 8634 and 8639
(i) The LCM of 8639 and 8634 is associative
LCM of 8634 and 8639 = LCM of 8639 and 8634
Related Least Common Multiples of 8634
Related Least Common Multiples of 8639
Frequently Asked Questions on LCM of 8634 and 8639
1. What is the LCM of 8634 and 8639?
Answer: LCM of 8634 and 8639 is 74589126.
2. What are the Factors of 8634?
Answer: Factors of 8634 are 1, 2, 3, 6, 1439, 2878, 4317, 8634. There are 8 integers that are factors of 8634. The greatest factor of 8634 is 8634.
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 8634 and 8639?
Answer:
Least Common Multiple of 8634 and 8639 = 74589126
Step 1: Find the prime factorization of 8634
8634 = 2 x 3 x 1439
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 = 74589126 = 2 x 3 x 53 x 163 x 1439
Step 4: Therefore, the least common multiple of 8634 and 8639 is 74589126.