Least Common Multiple of 5124 and 5129
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5124 and 5129 the smallest integer that is 26280996 that is divisible by both numbers.
Least Common Multiple (LCM) of 5124 and 5129 is 26280996.
LCM(5124,5129) = 26280996
LCM of 5124 and 5129
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5124 and 5129 by Prime method
- Least Common Multiple of 5124 and 5129 with GCF Formula
LCM of 5124 and 5129 is 26280996
Least common multiple can be found by multiplying the highest exponent prime factors of 5124 and 5129. First we will calculate the prime factors of 5124 and 5129.
Prime Factorization of 5124
| 2 | 5124 |
| 2 | 2562 |
| 3 | 1281 |
| 7 | 427 |
| 61 | 61 |
| 1 |
Prime factors of 5124 are 2, 3, 7,61. Prime factorization of 5124 in exponential form is:
5124 = 22×31×71×611
Prime Factorization of 5129
| 23 | 5129 |
| 223 | 223 |
| 1 |
Prime factors of 5129 are 23,223. Prime factorization of 5129 in exponential form is:
5129 = 231×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 5124 and 5129.
LCM(5124,5129) = 22×31×71×231×611×2231
LCM(5124,5129) = 26280996
Factors of 5124
List of positive integer factors of 5124 that divides 5124 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124
Factors of 5129
List of positive integer factors of 5129 that divides 5129 without a remainder.
1, 23, 223, 5129
Least Common Multiple of 5124 and 5129 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5124 and 5129, than apply into the LCM equation.
GCF(5124,5129) = 1
LCM(5124,5129) = ( 5124 × 5129) / 1
LCM(5124,5129) = 26280996 / 1
LCM(5124,5129) = 26280996
Properties of LCM 5124 and 5129
(i) The LCM of 5129 and 5124 is associative
LCM of 5124 and 5129 = LCM of 5129 and 5124
Related Least Common Multiples of 5124
Related Least Common Multiples of 5129
Frequently Asked Questions on LCM of 5124 and 5129
1. What is the LCM of 5124 and 5129?
Answer: LCM of 5124 and 5129 is 26280996.
2. What are the Factors of 5124?
Answer: Factors of 5124 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124. There are 24 integers that are factors of 5124. The greatest factor of 5124 is 5124.
3. What are the Factors of 5129?
Answer: Factors of 5129 are 1, 23, 223, 5129. There are 4 integers that are factors of 5129. The greatest factor of 5129 is 5129.
4. How to Find the LCM of 5124 and 5129?
Answer:
Least Common Multiple of 5124 and 5129 = 26280996
Step 1: Find the prime factorization of 5124
5124 = 2 x 2 x 3 x 7 x 61
Step 2: Find the prime factorization of 5129
5129 = 23 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26280996 = 2 x 2 x 3 x 7 x 23 x 61 x 223
Step 4: Therefore, the least common multiple of 5124 and 5129 is 26280996.