Least Common Multiple of 8635 and 8643
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8635 and 8643 the smallest integer that is 74632305 that is divisible by both numbers.
Least Common Multiple (LCM) of 8635 and 8643 is 74632305.
LCM(8635,8643) = 74632305
LCM of 8635 and 8643
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8635 and 8643 by Prime method
- Least Common Multiple of 8635 and 8643 with GCF Formula
LCM of 8635 and 8643 is 74632305
Least common multiple can be found by multiplying the highest exponent prime factors of 8635 and 8643. First we will calculate the prime factors of 8635 and 8643.
Prime Factorization of 8635
| 5 | 8635 |
| 11 | 1727 |
| 157 | 157 |
| 1 |
Prime factors of 8635 are 5, 11,157. Prime factorization of 8635 in exponential form is:
8635 = 51×111×1571
Prime Factorization of 8643
| 3 | 8643 |
| 43 | 2881 |
| 67 | 67 |
| 1 |
Prime factors of 8643 are 3, 43,67. Prime factorization of 8643 in exponential form is:
8643 = 31×431×671
Now multiplying the highest exponent prime factors to calculate the LCM of 8635 and 8643.
LCM(8635,8643) = 31×51×111×431×671×1571
LCM(8635,8643) = 74632305
Factors of 8635
List of positive integer factors of 8635 that divides 8635 without a remainder.
1, 5, 11, 55, 157, 785, 1727, 8635
Factors of 8643
List of positive integer factors of 8643 that divides 8643 without a remainder.
1, 3, 43, 67, 129, 201, 2881, 8643
Least Common Multiple of 8635 and 8643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8635 and 8643, than apply into the LCM equation.
GCF(8635,8643) = 1
LCM(8635,8643) = ( 8635 × 8643) / 1
LCM(8635,8643) = 74632305 / 1
LCM(8635,8643) = 74632305
Properties of LCM 8635 and 8643
(i) The LCM of 8643 and 8635 is associative
LCM of 8635 and 8643 = LCM of 8643 and 8635
Related Least Common Multiples of 8635
Related Least Common Multiples of 8643
Frequently Asked Questions on LCM of 8635 and 8643
1. What is the LCM of 8635 and 8643?
Answer: LCM of 8635 and 8643 is 74632305.
2. What are the Factors of 8635?
Answer: Factors of 8635 are 1, 5, 11, 55, 157, 785, 1727, 8635. There are 8 integers that are factors of 8635. The greatest factor of 8635 is 8635.
3. What are the Factors of 8643?
Answer: Factors of 8643 are 1, 3, 43, 67, 129, 201, 2881, 8643. There are 8 integers that are factors of 8643. The greatest factor of 8643 is 8643.
4. How to Find the LCM of 8635 and 8643?
Answer:
Least Common Multiple of 8635 and 8643 = 74632305
Step 1: Find the prime factorization of 8635
8635 = 5 x 11 x 157
Step 2: Find the prime factorization of 8643
8643 = 3 x 43 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74632305 = 3 x 5 x 11 x 43 x 67 x 157
Step 4: Therefore, the least common multiple of 8635 and 8643 is 74632305.