Least Common Multiple of 7031 and 7035
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7031 and 7035 the smallest integer that is 49463085 that is divisible by both numbers.
Least Common Multiple (LCM) of 7031 and 7035 is 49463085.
LCM(7031,7035) = 49463085
LCM of 7031 and 7035
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7031 and 7035 by Prime method
- Least Common Multiple of 7031 and 7035 with GCF Formula
LCM of 7031 and 7035 is 49463085
Least common multiple can be found by multiplying the highest exponent prime factors of 7031 and 7035. First we will calculate the prime factors of 7031 and 7035.
Prime Factorization of 7031
| 79 | 7031 |
| 89 | 89 |
| 1 |
Prime factors of 7031 are 79,89. Prime factorization of 7031 in exponential form is:
7031 = 791×891
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7031 and 7035.
LCM(7031,7035) = 31×51×71×671×791×891
LCM(7031,7035) = 49463085
Factors of 7031
List of positive integer factors of 7031 that divides 7031 without a remainder.
1, 79, 89, 7031
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
Least Common Multiple of 7031 and 7035 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7031 and 7035, than apply into the LCM equation.
GCF(7031,7035) = 1
LCM(7031,7035) = ( 7031 × 7035) / 1
LCM(7031,7035) = 49463085 / 1
LCM(7031,7035) = 49463085
Properties of LCM 7031 and 7035
(i) The LCM of 7035 and 7031 is associative
LCM of 7031 and 7035 = LCM of 7035 and 7031
Related Least Common Multiples of 7031
Related Least Common Multiples of 7035
Frequently Asked Questions on LCM of 7031 and 7035
1. What is the LCM of 7031 and 7035?
Answer: LCM of 7031 and 7035 is 49463085.
2. What are the Factors of 7031?
Answer: Factors of 7031 are 1, 79, 89, 7031. There are 4 integers that are factors of 7031. The greatest factor of 7031 is 7031.
3. 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.
4. How to Find the LCM of 7031 and 7035?
Answer:
Least Common Multiple of 7031 and 7035 = 49463085
Step 1: Find the prime factorization of 7031
7031 = 79 x 89
Step 2: Find the prime factorization of 7035
7035 = 3 x 5 x 7 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49463085 = 3 x 5 x 7 x 67 x 79 x 89
Step 4: Therefore, the least common multiple of 7031 and 7035 is 49463085.