Least Common Multiple of 7035 and 7039
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7035 and 7039 the smallest integer that is 49519365 that is divisible by both numbers.
Least Common Multiple (LCM) of 7035 and 7039 is 49519365.
LCM(7035,7039) = 49519365
LCM of 7035 and 7039
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7035 and 7039 by Prime method
- Least Common Multiple of 7035 and 7039 with GCF Formula
LCM of 7035 and 7039 is 49519365
Least common multiple can be found by multiplying the highest exponent prime factors of 7035 and 7039. First we will calculate the prime factors of 7035 and 7039.
Prime Factorization of 7035
| 3 | 7035 |
| 5 | 2345 |
| 7 | 469 |
| 67 | 67 |
| 1 |
Prime factors of 7035 are 3, 5, 7,67. Prime factorization of 7035 in exponential form is:
7035 = 31×51×71×671
Prime Factorization of 7039
| 7039 | 7039 |
| 1 |
Prime factors of 7039 are 7039. Prime factorization of 7039 in exponential form is:
7039 = 70391
Now multiplying the highest exponent prime factors to calculate the LCM of 7035 and 7039.
LCM(7035,7039) = 31×51×71×671×70391
LCM(7035,7039) = 49519365
Factors of 7035
List of positive integer factors of 7035 that divides 7035 without a remainder.
1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035
Factors of 7039
List of positive integer factors of 7039 that divides 7039 without a remainder.
1, 7039
Least Common Multiple of 7035 and 7039 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7035 and 7039, than apply into the LCM equation.
GCF(7035,7039) = 1
LCM(7035,7039) = ( 7035 × 7039) / 1
LCM(7035,7039) = 49519365 / 1
LCM(7035,7039) = 49519365
Properties of LCM 7035 and 7039
(i) The LCM of 7039 and 7035 is associative
LCM of 7035 and 7039 = LCM of 7039 and 7035
Related Least Common Multiples of 7035
Related Least Common Multiples of 7039
Frequently Asked Questions on LCM of 7035 and 7039
1. What is the LCM of 7035 and 7039?
Answer: LCM of 7035 and 7039 is 49519365.
2. What are the Factors of 7035?
Answer: Factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035. There are 16 integers that are factors of 7035. The greatest factor of 7035 is 7035.
3. What are the Factors of 7039?
Answer: Factors of 7039 are 1, 7039. There are 2 integers that are factors of 7039. The greatest factor of 7039 is 7039.
4. How to Find the LCM of 7035 and 7039?
Answer:
Least Common Multiple of 7035 and 7039 = 49519365
Step 1: Find the prime factorization of 7035
7035 = 3 x 5 x 7 x 67
Step 2: Find the prime factorization of 7039
7039 = 7039
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49519365 = 3 x 5 x 7 x 67 x 7039
Step 4: Therefore, the least common multiple of 7035 and 7039 is 49519365.