Least Common Multiple of 3029 and 3033
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 3033 the smallest integer that is 9186957 that is divisible by both numbers.
Least Common Multiple (LCM) of 3029 and 3033 is 9186957.
LCM(3029,3033) = 9186957
LCM of 3029 and 3033
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3029 and 3033 by Prime method
- Least Common Multiple of 3029 and 3033 with GCF Formula
LCM of 3029 and 3033 is 9186957
Least common multiple can be found by multiplying the highest exponent prime factors of 3029 and 3033. First we will calculate the prime factors of 3029 and 3033.
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 3033
| 3 | 3033 |
| 3 | 1011 |
| 337 | 337 |
| 1 |
Prime factors of 3033 are 3,337. Prime factorization of 3033 in exponential form is:
3033 = 32×3371
Now multiplying the highest exponent prime factors to calculate the LCM of 3029 and 3033.
LCM(3029,3033) = 32×131×2331×3371
LCM(3029,3033) = 9186957
Factors of 3029
List of positive integer factors of 3029 that divides 3029 without a remainder.
1, 13, 233, 3029
Factors of 3033
List of positive integer factors of 3033 that divides 3033 without a remainder.
1, 3, 9, 337, 1011, 3033
Least Common Multiple of 3029 and 3033 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 3033, than apply into the LCM equation.
GCF(3029,3033) = 1
LCM(3029,3033) = ( 3029 × 3033) / 1
LCM(3029,3033) = 9186957 / 1
LCM(3029,3033) = 9186957
Properties of LCM 3029 and 3033
(i) The LCM of 3033 and 3029 is associative
LCM of 3029 and 3033 = LCM of 3033 and 3029
Related Least Common Multiples of 3029
Related Least Common Multiples of 3033
Frequently Asked Questions on LCM of 3029 and 3033
1. What is the LCM of 3029 and 3033?
Answer: LCM of 3029 and 3033 is 9186957.
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 3033?
Answer: Factors of 3033 are 1, 3, 9, 337, 1011, 3033. There are 6 integers that are factors of 3033. The greatest factor of 3033 is 3033.
4. How to Find the LCM of 3029 and 3033?
Answer:
Least Common Multiple of 3029 and 3033 = 9186957
Step 1: Find the prime factorization of 3029
3029 = 13 x 233
Step 2: Find the prime factorization of 3033
3033 = 3 x 3 x 337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9186957 = 3 x 3 x 13 x 233 x 337
Step 4: Therefore, the least common multiple of 3029 and 3033 is 9186957.