Least Common Multiple of 5205 and 5213
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5205 and 5213 the smallest integer that is 27133665 that is divisible by both numbers.
Least Common Multiple (LCM) of 5205 and 5213 is 27133665.
LCM(5205,5213) = 27133665
LCM of 5205 and 5213
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5205 and 5213 by Prime method
- Least Common Multiple of 5205 and 5213 with GCF Formula
LCM of 5205 and 5213 is 27133665
Least common multiple can be found by multiplying the highest exponent prime factors of 5205 and 5213. First we will calculate the prime factors of 5205 and 5213.
Prime Factorization of 5205
| 3 | 5205 |
| 5 | 1735 |
| 347 | 347 |
| 1 |
Prime factors of 5205 are 3, 5,347. Prime factorization of 5205 in exponential form is:
5205 = 31×51×3471
Prime Factorization of 5213
| 13 | 5213 |
| 401 | 401 |
| 1 |
Prime factors of 5213 are 13,401. Prime factorization of 5213 in exponential form is:
5213 = 131×4011
Now multiplying the highest exponent prime factors to calculate the LCM of 5205 and 5213.
LCM(5205,5213) = 31×51×131×3471×4011
LCM(5205,5213) = 27133665
Factors of 5205
List of positive integer factors of 5205 that divides 5205 without a remainder.
1, 3, 5, 15, 347, 1041, 1735, 5205
Factors of 5213
List of positive integer factors of 5213 that divides 5213 without a remainder.
1, 13, 401, 5213
Least Common Multiple of 5205 and 5213 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5205 and 5213, than apply into the LCM equation.
GCF(5205,5213) = 1
LCM(5205,5213) = ( 5205 × 5213) / 1
LCM(5205,5213) = 27133665 / 1
LCM(5205,5213) = 27133665
Properties of LCM 5205 and 5213
(i) The LCM of 5213 and 5205 is associative
LCM of 5205 and 5213 = LCM of 5213 and 5205
Related Least Common Multiples of 5205
Related Least Common Multiples of 5213
Frequently Asked Questions on LCM of 5205 and 5213
1. What is the LCM of 5205 and 5213?
Answer: LCM of 5205 and 5213 is 27133665.
2. What are the Factors of 5205?
Answer: Factors of 5205 are 1, 3, 5, 15, 347, 1041, 1735, 5205. There are 8 integers that are factors of 5205. The greatest factor of 5205 is 5205.
3. What are the Factors of 5213?
Answer: Factors of 5213 are 1, 13, 401, 5213. There are 4 integers that are factors of 5213. The greatest factor of 5213 is 5213.
4. How to Find the LCM of 5205 and 5213?
Answer:
Least Common Multiple of 5205 and 5213 = 27133665
Step 1: Find the prime factorization of 5205
5205 = 3 x 5 x 347
Step 2: Find the prime factorization of 5213
5213 = 13 x 401
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27133665 = 3 x 5 x 13 x 347 x 401
Step 4: Therefore, the least common multiple of 5205 and 5213 is 27133665.