Least Common Multiple of 5027 and 5031
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5027 and 5031 the smallest integer that is 25290837 that is divisible by both numbers.
Least Common Multiple (LCM) of 5027 and 5031 is 25290837.
LCM(5027,5031) = 25290837
LCM of 5027 and 5031
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5027 and 5031 by Prime method
- Least Common Multiple of 5027 and 5031 with GCF Formula
LCM of 5027 and 5031 is 25290837
Least common multiple can be found by multiplying the highest exponent prime factors of 5027 and 5031. First we will calculate the prime factors of 5027 and 5031.
Prime Factorization of 5027
| 11 | 5027 |
| 457 | 457 |
| 1 |
Prime factors of 5027 are 11,457. Prime factorization of 5027 in exponential form is:
5027 = 111×4571
Prime Factorization of 5031
| 3 | 5031 |
| 3 | 1677 |
| 13 | 559 |
| 43 | 43 |
| 1 |
Prime factors of 5031 are 3, 13,43. Prime factorization of 5031 in exponential form is:
5031 = 32×131×431
Now multiplying the highest exponent prime factors to calculate the LCM of 5027 and 5031.
LCM(5027,5031) = 32×111×131×431×4571
LCM(5027,5031) = 25290837
Factors of 5027
List of positive integer factors of 5027 that divides 5027 without a remainder.
1, 11, 457, 5027
Factors of 5031
List of positive integer factors of 5031 that divides 5031 without a remainder.
1, 3, 9, 13, 39, 43, 117, 129, 387, 559, 1677, 5031
Least Common Multiple of 5027 and 5031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5027 and 5031, than apply into the LCM equation.
GCF(5027,5031) = 1
LCM(5027,5031) = ( 5027 × 5031) / 1
LCM(5027,5031) = 25290837 / 1
LCM(5027,5031) = 25290837
Properties of LCM 5027 and 5031
(i) The LCM of 5031 and 5027 is associative
LCM of 5027 and 5031 = LCM of 5031 and 5027
Related Least Common Multiples of 5027
Related Least Common Multiples of 5031
Frequently Asked Questions on LCM of 5027 and 5031
1. What is the LCM of 5027 and 5031?
Answer: LCM of 5027 and 5031 is 25290837.
2. What are the Factors of 5027?
Answer: Factors of 5027 are 1, 11, 457, 5027. There are 4 integers that are factors of 5027. The greatest factor of 5027 is 5027.
3. What are the Factors of 5031?
Answer: Factors of 5031 are 1, 3, 9, 13, 39, 43, 117, 129, 387, 559, 1677, 5031. There are 12 integers that are factors of 5031. The greatest factor of 5031 is 5031.
4. How to Find the LCM of 5027 and 5031?
Answer:
Least Common Multiple of 5027 and 5031 = 25290837
Step 1: Find the prime factorization of 5027
5027 = 11 x 457
Step 2: Find the prime factorization of 5031
5031 = 3 x 3 x 13 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25290837 = 3 x 3 x 11 x 13 x 43 x 457
Step 4: Therefore, the least common multiple of 5027 and 5031 is 25290837.