Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5126 and 5131 the smallest integer that is 26301506 that is divisible by both numbers.
Least Common Multiple (LCM) of 5126 and 5131 is 26301506.
LCM(5126,5131) = 26301506
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5126 and 5131. First we will calculate the prime factors of 5126 and 5131.
Prime Factorization of 5126
2 | 5126 |
11 | 2563 |
233 | 233 |
1 |
Prime factors of 5126 are 2, 11,233. Prime factorization of 5126 in exponential form is:
5126 = 21×111×2331
Prime Factorization of 5131
7 | 5131 |
733 | 733 |
1 |
Prime factors of 5131 are 7,733. Prime factorization of 5131 in exponential form is:
5131 = 71×7331
Now multiplying the highest exponent prime factors to calculate the LCM of 5126 and 5131.
LCM(5126,5131) = 21×71×111×2331×7331
LCM(5126,5131) = 26301506
Factors of 5126
List of positive integer factors of 5126 that divides 5126 without a remainder.
1, 2, 11, 22, 233, 466, 2563, 5126
Factors of 5131
List of positive integer factors of 5131 that divides 5131 without a remainder.
1, 7, 733, 5131
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5126 and 5131, than apply into the LCM equation.
GCF(5126,5131) = 1
LCM(5126,5131) = ( 5126 × 5131) / 1
LCM(5126,5131) = 26301506 / 1
LCM(5126,5131) = 26301506
(i) The LCM of 5131 and 5126 is associative
LCM of 5126 and 5131 = LCM of 5131 and 5126
1. What is the LCM of 5126 and 5131?
Answer: LCM of 5126 and 5131 is 26301506.
2. What are the Factors of 5126?
Answer: Factors of 5126 are 1, 2, 11, 22, 233, 466, 2563, 5126. There are 8 integers that are factors of 5126. The greatest factor of 5126 is 5126.
3. What are the Factors of 5131?
Answer: Factors of 5131 are 1, 7, 733, 5131. There are 4 integers that are factors of 5131. The greatest factor of 5131 is 5131.
4. How to Find the LCM of 5126 and 5131?
Answer:
Least Common Multiple of 5126 and 5131 = 26301506
Step 1: Find the prime factorization of 5126
5126 = 2 x 11 x 233
Step 2: Find the prime factorization of 5131
5131 = 7 x 733
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26301506 = 2 x 7 x 11 x 233 x 733
Step 4: Therefore, the least common multiple of 5126 and 5131 is 26301506.