Least Common Multiple of 5235 and 5239
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5235 and 5239 the smallest integer that is 27426165 that is divisible by both numbers.
Least Common Multiple (LCM) of 5235 and 5239 is 27426165.
LCM(5235,5239) = 27426165
LCM of 5235 and 5239
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5235 and 5239 by Prime method
- Least Common Multiple of 5235 and 5239 with GCF Formula
LCM of 5235 and 5239 is 27426165
Least common multiple can be found by multiplying the highest exponent prime factors of 5235 and 5239. First we will calculate the prime factors of 5235 and 5239.
Prime Factorization of 5235
| 3 | 5235 |
| 5 | 1745 |
| 349 | 349 |
| 1 |
Prime factors of 5235 are 3, 5,349. Prime factorization of 5235 in exponential form is:
5235 = 31×51×3491
Prime Factorization of 5239
| 13 | 5239 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 5239 are 13,31. Prime factorization of 5239 in exponential form is:
5239 = 132×311
Now multiplying the highest exponent prime factors to calculate the LCM of 5235 and 5239.
LCM(5235,5239) = 31×51×132×311×3491
LCM(5235,5239) = 27426165
Factors of 5235
List of positive integer factors of 5235 that divides 5235 without a remainder.
1, 3, 5, 15, 349, 1047, 1745, 5235
Factors of 5239
List of positive integer factors of 5239 that divides 5239 without a remainder.
1, 13, 31, 169, 403, 5239
Least Common Multiple of 5235 and 5239 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5235 and 5239, than apply into the LCM equation.
GCF(5235,5239) = 1
LCM(5235,5239) = ( 5235 × 5239) / 1
LCM(5235,5239) = 27426165 / 1
LCM(5235,5239) = 27426165
Properties of LCM 5235 and 5239
(i) The LCM of 5239 and 5235 is associative
LCM of 5235 and 5239 = LCM of 5239 and 5235
Related Least Common Multiples of 5235
Related Least Common Multiples of 5239
Frequently Asked Questions on LCM of 5235 and 5239
1. What is the LCM of 5235 and 5239?
Answer: LCM of 5235 and 5239 is 27426165.
2. What are the Factors of 5235?
Answer: Factors of 5235 are 1, 3, 5, 15, 349, 1047, 1745, 5235. There are 8 integers that are factors of 5235. The greatest factor of 5235 is 5235.
3. What are the Factors of 5239?
Answer: Factors of 5239 are 1, 13, 31, 169, 403, 5239. There are 6 integers that are factors of 5239. The greatest factor of 5239 is 5239.
4. How to Find the LCM of 5235 and 5239?
Answer:
Least Common Multiple of 5235 and 5239 = 27426165
Step 1: Find the prime factorization of 5235
5235 = 3 x 5 x 349
Step 2: Find the prime factorization of 5239
5239 = 13 x 13 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27426165 = 3 x 5 x 13 x 13 x 31 x 349
Step 4: Therefore, the least common multiple of 5235 and 5239 is 27426165.