Least Common Multiple of 3029 and 3034
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3029 and 3034 the smallest integer that is 9189986 that is divisible by both numbers.
Least Common Multiple (LCM) of 3029 and 3034 is 9189986.
LCM(3029,3034) = 9189986
LCM of 3029 and 3034
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3029 and 3034 by Prime method
- Least Common Multiple of 3029 and 3034 with GCF Formula
LCM of 3029 and 3034 is 9189986
Least common multiple can be found by multiplying the highest exponent prime factors of 3029 and 3034. First we will calculate the prime factors of 3029 and 3034.
Prime Factorization of 3029
| 13 | 3029 |
| 233 | 233 |
| 1 |
Prime factors of 3029 are 13,233. Prime factorization of 3029 in exponential form is:
3029 = 131×2331
Prime Factorization of 3034
| 2 | 3034 |
| 37 | 1517 |
| 41 | 41 |
| 1 |
Prime factors of 3034 are 2, 37,41. Prime factorization of 3034 in exponential form is:
3034 = 21×371×411
Now multiplying the highest exponent prime factors to calculate the LCM of 3029 and 3034.
LCM(3029,3034) = 21×131×371×411×2331
LCM(3029,3034) = 9189986
Factors of 3029
List of positive integer factors of 3029 that divides 3029 without a remainder.
1, 13, 233, 3029
Factors of 3034
List of positive integer factors of 3034 that divides 3034 without a remainder.
1, 2, 37, 41, 74, 82, 1517, 3034
Least Common Multiple of 3029 and 3034 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3029 and 3034, than apply into the LCM equation.
GCF(3029,3034) = 1
LCM(3029,3034) = ( 3029 × 3034) / 1
LCM(3029,3034) = 9189986 / 1
LCM(3029,3034) = 9189986
Properties of LCM 3029 and 3034
(i) The LCM of 3034 and 3029 is associative
LCM of 3029 and 3034 = LCM of 3034 and 3029
Related Least Common Multiples of 3029
Related Least Common Multiples of 3034
Frequently Asked Questions on LCM of 3029 and 3034
1. What is the LCM of 3029 and 3034?
Answer: LCM of 3029 and 3034 is 9189986.
2. What are the Factors of 3029?
Answer: Factors of 3029 are 1, 13, 233, 3029. There are 4 integers that are factors of 3029. The greatest factor of 3029 is 3029.
3. What are the Factors of 3034?
Answer: Factors of 3034 are 1, 2, 37, 41, 74, 82, 1517, 3034. There are 8 integers that are factors of 3034. The greatest factor of 3034 is 3034.
4. How to Find the LCM of 3029 and 3034?
Answer:
Least Common Multiple of 3029 and 3034 = 9189986
Step 1: Find the prime factorization of 3029
3029 = 13 x 233
Step 2: Find the prime factorization of 3034
3034 = 2 x 37 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9189986 = 2 x 13 x 37 x 41 x 233
Step 4: Therefore, the least common multiple of 3029 and 3034 is 9189986.