Least Common Multiple of 8029 and 8037
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 8037 the smallest integer that is 64529073 that is divisible by both numbers.
Least Common Multiple (LCM) of 8029 and 8037 is 64529073.
LCM(8029,8037) = 64529073
LCM of 8029 and 8037
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8029 and 8037 by Prime method
- Least Common Multiple of 8029 and 8037 with GCF Formula
LCM of 8029 and 8037 is 64529073
Least common multiple can be found by multiplying the highest exponent prime factors of 8029 and 8037. First we will calculate the prime factors of 8029 and 8037.
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 8037
| 3 | 8037 |
| 3 | 2679 |
| 19 | 893 |
| 47 | 47 |
| 1 |
Prime factors of 8037 are 3, 19,47. Prime factorization of 8037 in exponential form is:
8037 = 32×191×471
Now multiplying the highest exponent prime factors to calculate the LCM of 8029 and 8037.
LCM(8029,8037) = 32×71×191×311×371×471
LCM(8029,8037) = 64529073
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 8037
List of positive integer factors of 8037 that divides 8037 without a remainder.
1, 3, 9, 19, 47, 57, 141, 171, 423, 893, 2679, 8037
Least Common Multiple of 8029 and 8037 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 8037, than apply into the LCM equation.
GCF(8029,8037) = 1
LCM(8029,8037) = ( 8029 × 8037) / 1
LCM(8029,8037) = 64529073 / 1
LCM(8029,8037) = 64529073
Properties of LCM 8029 and 8037
(i) The LCM of 8037 and 8029 is associative
LCM of 8029 and 8037 = LCM of 8037 and 8029
Related Least Common Multiples of 8029
Related Least Common Multiples of 8037
Frequently Asked Questions on LCM of 8029 and 8037
1. What is the LCM of 8029 and 8037?
Answer: LCM of 8029 and 8037 is 64529073.
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 8037?
Answer: Factors of 8037 are 1, 3, 9, 19, 47, 57, 141, 171, 423, 893, 2679, 8037. There are 12 integers that are factors of 8037. The greatest factor of 8037 is 8037.
4. How to Find the LCM of 8029 and 8037?
Answer:
Least Common Multiple of 8029 and 8037 = 64529073
Step 1: Find the prime factorization of 8029
8029 = 7 x 31 x 37
Step 2: Find the prime factorization of 8037
8037 = 3 x 3 x 19 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 64529073 = 3 x 3 x 7 x 19 x 31 x 37 x 47
Step 4: Therefore, the least common multiple of 8029 and 8037 is 64529073.