Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5138 and 5144 the smallest integer that is 13214936 that is divisible by both numbers.
Least Common Multiple (LCM) of 5138 and 5144 is 13214936.
LCM(5138,5144) = 13214936
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 5138 and 5144. First we will calculate the prime factors of 5138 and 5144.
Prime Factorization of 5138
2 | 5138 |
7 | 2569 |
367 | 367 |
1 |
Prime factors of 5138 are 2, 7,367. Prime factorization of 5138 in exponential form is:
5138 = 21×71×3671
Prime Factorization of 5144
2 | 5144 |
2 | 2572 |
2 | 1286 |
643 | 643 |
1 |
Prime factors of 5144 are 2,643. Prime factorization of 5144 in exponential form is:
5144 = 23×6431
Now multiplying the highest exponent prime factors to calculate the LCM of 5138 and 5144.
LCM(5138,5144) = 23×71×3671×6431
LCM(5138,5144) = 13214936
Factors of 5138
List of positive integer factors of 5138 that divides 5138 without a remainder.
1, 2, 7, 14, 367, 734, 2569, 5138
Factors of 5144
List of positive integer factors of 5144 that divides 5144 without a remainder.
1, 2, 4, 8, 643, 1286, 2572, 5144
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5138 and 5144, than apply into the LCM equation.
GCF(5138,5144) = 2
LCM(5138,5144) = ( 5138 × 5144) / 2
LCM(5138,5144) = 26429872 / 2
LCM(5138,5144) = 13214936
(i) The LCM of 5144 and 5138 is associative
LCM of 5138 and 5144 = LCM of 5144 and 5138
1. What is the LCM of 5138 and 5144?
Answer: LCM of 5138 and 5144 is 13214936.
2. What are the Factors of 5138?
Answer: Factors of 5138 are 1, 2, 7, 14, 367, 734, 2569, 5138. There are 8 integers that are factors of 5138. The greatest factor of 5138 is 5138.
3. What are the Factors of 5144?
Answer: Factors of 5144 are 1, 2, 4, 8, 643, 1286, 2572, 5144. There are 8 integers that are factors of 5144. The greatest factor of 5144 is 5144.
4. How to Find the LCM of 5138 and 5144?
Answer:
Least Common Multiple of 5138 and 5144 = 13214936
Step 1: Find the prime factorization of 5138
5138 = 2 x 7 x 367
Step 2: Find the prime factorization of 5144
5144 = 2 x 2 x 2 x 643
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13214936 = 2 x 2 x 2 x 7 x 367 x 643
Step 4: Therefore, the least common multiple of 5138 and 5144 is 13214936.