Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5132 and 5136 the smallest integer that is 6589488 that is divisible by both numbers.
Least Common Multiple (LCM) of 5132 and 5136 is 6589488.
LCM(5132,5136) = 6589488
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 5132 and 5136. First we will calculate the prime factors of 5132 and 5136.
Prime Factorization of 5132
2 | 5132 |
2 | 2566 |
1283 | 1283 |
1 |
Prime factors of 5132 are 2,1283. Prime factorization of 5132 in exponential form is:
5132 = 22×12831
Prime Factorization of 5136
2 | 5136 |
2 | 2568 |
2 | 1284 |
2 | 642 |
3 | 321 |
107 | 107 |
1 |
Prime factors of 5136 are 2, 3,107. Prime factorization of 5136 in exponential form is:
5136 = 24×31×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 5132 and 5136.
LCM(5132,5136) = 24×31×1071×12831
LCM(5132,5136) = 6589488
Factors of 5132
List of positive integer factors of 5132 that divides 5132 without a remainder.
1, 2, 4, 1283, 2566, 5132
Factors of 5136
List of positive integer factors of 5136 that divides 5136 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 5136
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5132 and 5136, than apply into the LCM equation.
GCF(5132,5136) = 4
LCM(5132,5136) = ( 5132 × 5136) / 4
LCM(5132,5136) = 26357952 / 4
LCM(5132,5136) = 6589488
(i) The LCM of 5136 and 5132 is associative
LCM of 5132 and 5136 = LCM of 5136 and 5132
1. What is the LCM of 5132 and 5136?
Answer: LCM of 5132 and 5136 is 6589488.
2. What are the Factors of 5132?
Answer: Factors of 5132 are 1, 2, 4, 1283, 2566, 5132. There are 6 integers that are factors of 5132. The greatest factor of 5132 is 5132.
3. What are the Factors of 5136?
Answer: Factors of 5136 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 5136. There are 20 integers that are factors of 5136. The greatest factor of 5136 is 5136.
4. How to Find the LCM of 5132 and 5136?
Answer:
Least Common Multiple of 5132 and 5136 = 6589488
Step 1: Find the prime factorization of 5132
5132 = 2 x 2 x 1283
Step 2: Find the prime factorization of 5136
5136 = 2 x 2 x 2 x 2 x 3 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6589488 = 2 x 2 x 2 x 2 x 3 x 107 x 1283
Step 4: Therefore, the least common multiple of 5132 and 5136 is 6589488.