Least Common Multiple of 8029 and 8033
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8029 and 8033 the smallest integer that is 64496957 that is divisible by both numbers.
Least Common Multiple (LCM) of 8029 and 8033 is 64496957.
LCM(8029,8033) = 64496957
LCM of 8029 and 8033
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8029 and 8033 by Prime method
- Least Common Multiple of 8029 and 8033 with GCF Formula
LCM of 8029 and 8033 is 64496957
Least common multiple can be found by multiplying the highest exponent prime factors of 8029 and 8033. First we will calculate the prime factors of 8029 and 8033.
Prime Factorization of 8029
| 7 | 8029 |
| 31 | 1147 |
| 37 | 37 |
| 1 |
Prime factors of 8029 are 7, 31,37. Prime factorization of 8029 in exponential form is:
8029 = 71×311×371
Prime Factorization of 8033
| 29 | 8033 |
| 277 | 277 |
| 1 |
Prime factors of 8033 are 29,277. Prime factorization of 8033 in exponential form is:
8033 = 291×2771
Now multiplying the highest exponent prime factors to calculate the LCM of 8029 and 8033.
LCM(8029,8033) = 71×291×311×371×2771
LCM(8029,8033) = 64496957
Factors of 8029
List of positive integer factors of 8029 that divides 8029 without a remainder.
1, 7, 31, 37, 217, 259, 1147, 8029
Factors of 8033
List of positive integer factors of 8033 that divides 8033 without a remainder.
1, 29, 277, 8033
Least Common Multiple of 8029 and 8033 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8029 and 8033, than apply into the LCM equation.
GCF(8029,8033) = 1
LCM(8029,8033) = ( 8029 × 8033) / 1
LCM(8029,8033) = 64496957 / 1
LCM(8029,8033) = 64496957
Properties of LCM 8029 and 8033
(i) The LCM of 8033 and 8029 is associative
LCM of 8029 and 8033 = LCM of 8033 and 8029
Related Least Common Multiples of 8029
Related Least Common Multiples of 8033
Frequently Asked Questions on LCM of 8029 and 8033
1. What is the LCM of 8029 and 8033?
Answer: LCM of 8029 and 8033 is 64496957.
2. What are the Factors of 8029?
Answer: Factors of 8029 are 1, 7, 31, 37, 217, 259, 1147, 8029. There are 8 integers that are factors of 8029. The greatest factor of 8029 is 8029.
3. What are the Factors of 8033?
Answer: Factors of 8033 are 1, 29, 277, 8033. There are 4 integers that are factors of 8033. The greatest factor of 8033 is 8033.
4. How to Find the LCM of 8029 and 8033?
Answer:
Least Common Multiple of 8029 and 8033 = 64496957
Step 1: Find the prime factorization of 8029
8029 = 7 x 31 x 37
Step 2: Find the prime factorization of 8033
8033 = 29 x 277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 64496957 = 7 x 29 x 31 x 37 x 277
Step 4: Therefore, the least common multiple of 8029 and 8033 is 64496957.