Least Common Multiple of 7031 and 7038
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 7038 the smallest integer that is 49484178 that is divisible by both numbers.
Least Common Multiple (LCM) of 7031 and 7038 is 49484178.
LCM(7031,7038) = 49484178
LCM of 7031 and 7038
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7031 and 7038 by Prime method
- Least Common Multiple of 7031 and 7038 with GCF Formula
LCM of 7031 and 7038 is 49484178
Least common multiple can be found by multiplying the highest exponent prime factors of 7031 and 7038. First we will calculate the prime factors of 7031 and 7038.
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 7038
| 2 | 7038 |
| 3 | 3519 |
| 3 | 1173 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 7038 are 2, 3, 17,23. Prime factorization of 7038 in exponential form is:
7038 = 21×32×171×231
Now multiplying the highest exponent prime factors to calculate the LCM of 7031 and 7038.
LCM(7031,7038) = 21×32×171×231×791×891
LCM(7031,7038) = 49484178
Factors of 7031
List of positive integer factors of 7031 that divides 7031 without a remainder.
1, 79, 89, 7031
Factors of 7038
List of positive integer factors of 7038 that divides 7038 without a remainder.
1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038
Least Common Multiple of 7031 and 7038 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 7038, than apply into the LCM equation.
GCF(7031,7038) = 1
LCM(7031,7038) = ( 7031 × 7038) / 1
LCM(7031,7038) = 49484178 / 1
LCM(7031,7038) = 49484178
Properties of LCM 7031 and 7038
(i) The LCM of 7038 and 7031 is associative
LCM of 7031 and 7038 = LCM of 7038 and 7031
Related Least Common Multiples of 7031
Related Least Common Multiples of 7038
Frequently Asked Questions on LCM of 7031 and 7038
1. What is the LCM of 7031 and 7038?
Answer: LCM of 7031 and 7038 is 49484178.
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 7038?
Answer: Factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038. There are 24 integers that are factors of 7038. The greatest factor of 7038 is 7038.
4. How to Find the LCM of 7031 and 7038?
Answer:
Least Common Multiple of 7031 and 7038 = 49484178
Step 1: Find the prime factorization of 7031
7031 = 79 x 89
Step 2: Find the prime factorization of 7038
7038 = 2 x 3 x 3 x 17 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49484178 = 2 x 3 x 3 x 17 x 23 x 79 x 89
Step 4: Therefore, the least common multiple of 7031 and 7038 is 49484178.