Least Common Multiple of 7031 and 7037
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 7037 the smallest integer that is 49477147 that is divisible by both numbers.
Least Common Multiple (LCM) of 7031 and 7037 is 49477147.
LCM(7031,7037) = 49477147
LCM of 7031 and 7037
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7031 and 7037 by Prime method
- Least Common Multiple of 7031 and 7037 with GCF Formula
LCM of 7031 and 7037 is 49477147
Least common multiple can be found by multiplying the highest exponent prime factors of 7031 and 7037. First we will calculate the prime factors of 7031 and 7037.
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 7037
| 31 | 7037 |
| 227 | 227 |
| 1 |
Prime factors of 7037 are 31,227. Prime factorization of 7037 in exponential form is:
7037 = 311×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 7031 and 7037.
LCM(7031,7037) = 311×791×891×2271
LCM(7031,7037) = 49477147
Factors of 7031
List of positive integer factors of 7031 that divides 7031 without a remainder.
1, 79, 89, 7031
Factors of 7037
List of positive integer factors of 7037 that divides 7037 without a remainder.
1, 31, 227, 7037
Least Common Multiple of 7031 and 7037 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 7037, than apply into the LCM equation.
GCF(7031,7037) = 1
LCM(7031,7037) = ( 7031 × 7037) / 1
LCM(7031,7037) = 49477147 / 1
LCM(7031,7037) = 49477147
Properties of LCM 7031 and 7037
(i) The LCM of 7037 and 7031 is associative
LCM of 7031 and 7037 = LCM of 7037 and 7031
Related Least Common Multiples of 7031
Related Least Common Multiples of 7037
Frequently Asked Questions on LCM of 7031 and 7037
1. What is the LCM of 7031 and 7037?
Answer: LCM of 7031 and 7037 is 49477147.
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 7037?
Answer: Factors of 7037 are 1, 31, 227, 7037. There are 4 integers that are factors of 7037. The greatest factor of 7037 is 7037.
4. How to Find the LCM of 7031 and 7037?
Answer:
Least Common Multiple of 7031 and 7037 = 49477147
Step 1: Find the prime factorization of 7031
7031 = 79 x 89
Step 2: Find the prime factorization of 7037
7037 = 31 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49477147 = 31 x 79 x 89 x 227
Step 4: Therefore, the least common multiple of 7031 and 7037 is 49477147.