Least Common Multiple of 5239 and 5245
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5239 and 5245 the smallest integer that is 27478555 that is divisible by both numbers.
Least Common Multiple (LCM) of 5239 and 5245 is 27478555.
LCM(5239,5245) = 27478555
LCM of 5239 and 5245
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5239 and 5245 by Prime method
- Least Common Multiple of 5239 and 5245 with GCF Formula
LCM of 5239 and 5245 is 27478555
Least common multiple can be found by multiplying the highest exponent prime factors of 5239 and 5245. First we will calculate the prime factors of 5239 and 5245.
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
Prime Factorization of 5245
| 5 | 5245 |
| 1049 | 1049 |
| 1 |
Prime factors of 5245 are 5,1049. Prime factorization of 5245 in exponential form is:
5245 = 51×10491
Now multiplying the highest exponent prime factors to calculate the LCM of 5239 and 5245.
LCM(5239,5245) = 51×132×311×10491
LCM(5239,5245) = 27478555
Factors of 5239
List of positive integer factors of 5239 that divides 5239 without a remainder.
1, 13, 31, 169, 403, 5239
Factors of 5245
List of positive integer factors of 5245 that divides 5245 without a remainder.
1, 5, 1049, 5245
Least Common Multiple of 5239 and 5245 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5239 and 5245, than apply into the LCM equation.
GCF(5239,5245) = 1
LCM(5239,5245) = ( 5239 × 5245) / 1
LCM(5239,5245) = 27478555 / 1
LCM(5239,5245) = 27478555
Properties of LCM 5239 and 5245
(i) The LCM of 5245 and 5239 is associative
LCM of 5239 and 5245 = LCM of 5245 and 5239
Related Least Common Multiples of 5239
Related Least Common Multiples of 5245
Frequently Asked Questions on LCM of 5239 and 5245
1. What is the LCM of 5239 and 5245?
Answer: LCM of 5239 and 5245 is 27478555.
2. 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.
3. What are the Factors of 5245?
Answer: Factors of 5245 are 1, 5, 1049, 5245. There are 4 integers that are factors of 5245. The greatest factor of 5245 is 5245.
4. How to Find the LCM of 5239 and 5245?
Answer:
Least Common Multiple of 5239 and 5245 = 27478555
Step 1: Find the prime factorization of 5239
5239 = 13 x 13 x 31
Step 2: Find the prime factorization of 5245
5245 = 5 x 1049
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27478555 = 5 x 13 x 13 x 31 x 1049
Step 4: Therefore, the least common multiple of 5239 and 5245 is 27478555.