Least Common Multiple of 3029 and 3035
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 3035 the smallest integer that is 9193015 that is divisible by both numbers.
Least Common Multiple (LCM) of 3029 and 3035 is 9193015.
LCM(3029,3035) = 9193015
LCM of 3029 and 3035
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3029 and 3035 by Prime method
- Least Common Multiple of 3029 and 3035 with GCF Formula
LCM of 3029 and 3035 is 9193015
Least common multiple can be found by multiplying the highest exponent prime factors of 3029 and 3035. First we will calculate the prime factors of 3029 and 3035.
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 3035
| 5 | 3035 |
| 607 | 607 |
| 1 |
Prime factors of 3035 are 5,607. Prime factorization of 3035 in exponential form is:
3035 = 51×6071
Now multiplying the highest exponent prime factors to calculate the LCM of 3029 and 3035.
LCM(3029,3035) = 51×131×2331×6071
LCM(3029,3035) = 9193015
Factors of 3029
List of positive integer factors of 3029 that divides 3029 without a remainder.
1, 13, 233, 3029
Factors of 3035
List of positive integer factors of 3035 that divides 3035 without a remainder.
1, 5, 607, 3035
Least Common Multiple of 3029 and 3035 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 3035, than apply into the LCM equation.
GCF(3029,3035) = 1
LCM(3029,3035) = ( 3029 × 3035) / 1
LCM(3029,3035) = 9193015 / 1
LCM(3029,3035) = 9193015
Properties of LCM 3029 and 3035
(i) The LCM of 3035 and 3029 is associative
LCM of 3029 and 3035 = LCM of 3035 and 3029
Related Least Common Multiples of 3029
Related Least Common Multiples of 3035
Frequently Asked Questions on LCM of 3029 and 3035
1. What is the LCM of 3029 and 3035?
Answer: LCM of 3029 and 3035 is 9193015.
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 3035?
Answer: Factors of 3035 are 1, 5, 607, 3035. There are 4 integers that are factors of 3035. The greatest factor of 3035 is 3035.
4. How to Find the LCM of 3029 and 3035?
Answer:
Least Common Multiple of 3029 and 3035 = 9193015
Step 1: Find the prime factorization of 3029
3029 = 13 x 233
Step 2: Find the prime factorization of 3035
3035 = 5 x 607
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9193015 = 5 x 13 x 233 x 607
Step 4: Therefore, the least common multiple of 3029 and 3035 is 9193015.