Least Common Multiple of 8022 and 8029
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8022 and 8029 the smallest integer that is 9201234 that is divisible by both numbers.
Least Common Multiple (LCM) of 8022 and 8029 is 9201234.
LCM(8022,8029) = 9201234
LCM of 8022 and 8029
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8022 and 8029 by Prime method
- Least Common Multiple of 8022 and 8029 with GCF Formula
LCM of 8022 and 8029 is 9201234
Least common multiple can be found by multiplying the highest exponent prime factors of 8022 and 8029. First we will calculate the prime factors of 8022 and 8029.
Prime Factorization of 8022
| 2 | 8022 |
| 3 | 4011 |
| 7 | 1337 |
| 191 | 191 |
| 1 |
Prime factors of 8022 are 2, 3, 7,191. Prime factorization of 8022 in exponential form is:
8022 = 21×31×71×1911
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8022 and 8029.
LCM(8022,8029) = 21×31×71×311×371×1911
LCM(8022,8029) = 9201234
Factors of 8022
List of positive integer factors of 8022 that divides 8022 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 191, 382, 573, 1146, 1337, 2674, 4011, 8022
Factors of 8029
List of positive integer factors of 8029 that divides 8029 without a remainder.
1, 7, 31, 37, 217, 259, 1147, 8029
Least Common Multiple of 8022 and 8029 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8022 and 8029, than apply into the LCM equation.
GCF(8022,8029) = 7
LCM(8022,8029) = ( 8022 × 8029) / 7
LCM(8022,8029) = 64408638 / 7
LCM(8022,8029) = 9201234
Properties of LCM 8022 and 8029
(i) The LCM of 8029 and 8022 is associative
LCM of 8022 and 8029 = LCM of 8029 and 8022
Related Least Common Multiples of 8022
Related Least Common Multiples of 8029
Frequently Asked Questions on LCM of 8022 and 8029
1. What is the LCM of 8022 and 8029?
Answer: LCM of 8022 and 8029 is 9201234.
2. What are the Factors of 8022?
Answer: Factors of 8022 are 1, 2, 3, 6, 7, 14, 21, 42, 191, 382, 573, 1146, 1337, 2674, 4011, 8022. There are 16 integers that are factors of 8022. The greatest factor of 8022 is 8022.
3. 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.
4. How to Find the LCM of 8022 and 8029?
Answer:
Least Common Multiple of 8022 and 8029 = 9201234
Step 1: Find the prime factorization of 8022
8022 = 2 x 3 x 7 x 191
Step 2: Find the prime factorization of 8029
8029 = 7 x 31 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9201234 = 2 x 3 x 7 x 31 x 37 x 191
Step 4: Therefore, the least common multiple of 8022 and 8029 is 9201234.