Least Common Multiple of 5139 and 5146
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5139 and 5146 the smallest integer that is 26445294 that is divisible by both numbers.
Least Common Multiple (LCM) of 5139 and 5146 is 26445294.
LCM(5139,5146) = 26445294
LCM of 5139 and 5146
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5139 and 5146 by Prime method
- Least Common Multiple of 5139 and 5146 with GCF Formula
LCM of 5139 and 5146 is 26445294
Least common multiple can be found by multiplying the highest exponent prime factors of 5139 and 5146. First we will calculate the prime factors of 5139 and 5146.
Prime Factorization of 5139
| 3 | 5139 |
| 3 | 1713 |
| 571 | 571 |
| 1 |
Prime factors of 5139 are 3,571. Prime factorization of 5139 in exponential form is:
5139 = 32×5711
Prime Factorization of 5146
| 2 | 5146 |
| 31 | 2573 |
| 83 | 83 |
| 1 |
Prime factors of 5146 are 2, 31,83. Prime factorization of 5146 in exponential form is:
5146 = 21×311×831
Now multiplying the highest exponent prime factors to calculate the LCM of 5139 and 5146.
LCM(5139,5146) = 21×32×311×831×5711
LCM(5139,5146) = 26445294
Factors of 5139
List of positive integer factors of 5139 that divides 5139 without a remainder.
1, 3, 9, 571, 1713, 5139
Factors of 5146
List of positive integer factors of 5146 that divides 5146 without a remainder.
1, 2, 31, 62, 83, 166, 2573, 5146
Least Common Multiple of 5139 and 5146 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5139 and 5146, than apply into the LCM equation.
GCF(5139,5146) = 1
LCM(5139,5146) = ( 5139 × 5146) / 1
LCM(5139,5146) = 26445294 / 1
LCM(5139,5146) = 26445294
Properties of LCM 5139 and 5146
(i) The LCM of 5146 and 5139 is associative
LCM of 5139 and 5146 = LCM of 5146 and 5139
Related Least Common Multiples of 5139
Related Least Common Multiples of 5146
Frequently Asked Questions on LCM of 5139 and 5146
1. What is the LCM of 5139 and 5146?
Answer: LCM of 5139 and 5146 is 26445294.
2. What are the Factors of 5139?
Answer: Factors of 5139 are 1, 3, 9, 571, 1713, 5139. There are 6 integers that are factors of 5139. The greatest factor of 5139 is 5139.
3. What are the Factors of 5146?
Answer: Factors of 5146 are 1, 2, 31, 62, 83, 166, 2573, 5146. There are 8 integers that are factors of 5146. The greatest factor of 5146 is 5146.
4. How to Find the LCM of 5139 and 5146?
Answer:
Least Common Multiple of 5139 and 5146 = 26445294
Step 1: Find the prime factorization of 5139
5139 = 3 x 3 x 571
Step 2: Find the prime factorization of 5146
5146 = 2 x 31 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26445294 = 2 x 3 x 3 x 31 x 83 x 571
Step 4: Therefore, the least common multiple of 5139 and 5146 is 26445294.