Least Common Multiple of 8021 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 8021 and 8029 the smallest integer that is 64400609 that is divisible by both numbers.
Least Common Multiple (LCM) of 8021 and 8029 is 64400609.
LCM(8021,8029) = 64400609
LCM of 8021 and 8029
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8021 and 8029 by Prime method
- Least Common Multiple of 8021 and 8029 with GCF Formula
LCM of 8021 and 8029 is 64400609
Least common multiple can be found by multiplying the highest exponent prime factors of 8021 and 8029. First we will calculate the prime factors of 8021 and 8029.
Prime Factorization of 8021
| 13 | 8021 |
| 617 | 617 |
| 1 |
Prime factors of 8021 are 13,617. Prime factorization of 8021 in exponential form is:
8021 = 131×6171
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 8021 and 8029.
LCM(8021,8029) = 71×131×311×371×6171
LCM(8021,8029) = 64400609
Factors of 8021
List of positive integer factors of 8021 that divides 8021 without a remainder.
1, 13, 617, 8021
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 8021 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 8021 and 8029, than apply into the LCM equation.
GCF(8021,8029) = 1
LCM(8021,8029) = ( 8021 × 8029) / 1
LCM(8021,8029) = 64400609 / 1
LCM(8021,8029) = 64400609
Properties of LCM 8021 and 8029
(i) The LCM of 8029 and 8021 is associative
LCM of 8021 and 8029 = LCM of 8029 and 8021
Related Least Common Multiples of 8021
Related Least Common Multiples of 8029
Frequently Asked Questions on LCM of 8021 and 8029
1. What is the LCM of 8021 and 8029?
Answer: LCM of 8021 and 8029 is 64400609.
2. What are the Factors of 8021?
Answer: Factors of 8021 are 1, 13, 617, 8021. There are 4 integers that are factors of 8021. The greatest factor of 8021 is 8021.
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 8021 and 8029?
Answer:
Least Common Multiple of 8021 and 8029 = 64400609
Step 1: Find the prime factorization of 8021
8021 = 13 x 617
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 = 64400609 = 7 x 13 x 31 x 37 x 617
Step 4: Therefore, the least common multiple of 8021 and 8029 is 64400609.