Least Common Multiple of 5213 and 5217
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5213 and 5217 the smallest integer that is 27196221 that is divisible by both numbers.
Least Common Multiple (LCM) of 5213 and 5217 is 27196221.
LCM(5213,5217) = 27196221
LCM of 5213 and 5217
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5213 and 5217 by Prime method
- Least Common Multiple of 5213 and 5217 with GCF Formula
LCM of 5213 and 5217 is 27196221
Least common multiple can be found by multiplying the highest exponent prime factors of 5213 and 5217. First we will calculate the prime factors of 5213 and 5217.
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
Prime Factorization of 5217
| 3 | 5217 |
| 37 | 1739 |
| 47 | 47 |
| 1 |
Prime factors of 5217 are 3, 37,47. Prime factorization of 5217 in exponential form is:
5217 = 31×371×471
Now multiplying the highest exponent prime factors to calculate the LCM of 5213 and 5217.
LCM(5213,5217) = 31×131×371×471×4011
LCM(5213,5217) = 27196221
Factors of 5213
List of positive integer factors of 5213 that divides 5213 without a remainder.
1, 13, 401, 5213
Factors of 5217
List of positive integer factors of 5217 that divides 5217 without a remainder.
1, 3, 37, 47, 111, 141, 1739, 5217
Least Common Multiple of 5213 and 5217 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5213 and 5217, than apply into the LCM equation.
GCF(5213,5217) = 1
LCM(5213,5217) = ( 5213 × 5217) / 1
LCM(5213,5217) = 27196221 / 1
LCM(5213,5217) = 27196221
Properties of LCM 5213 and 5217
(i) The LCM of 5217 and 5213 is associative
LCM of 5213 and 5217 = LCM of 5217 and 5213
Related Least Common Multiples of 5213
Related Least Common Multiples of 5217
Frequently Asked Questions on LCM of 5213 and 5217
1. What is the LCM of 5213 and 5217?
Answer: LCM of 5213 and 5217 is 27196221.
2. 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.
3. What are the Factors of 5217?
Answer: Factors of 5217 are 1, 3, 37, 47, 111, 141, 1739, 5217. There are 8 integers that are factors of 5217. The greatest factor of 5217 is 5217.
4. How to Find the LCM of 5213 and 5217?
Answer:
Least Common Multiple of 5213 and 5217 = 27196221
Step 1: Find the prime factorization of 5213
5213 = 13 x 401
Step 2: Find the prime factorization of 5217
5217 = 3 x 37 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27196221 = 3 x 13 x 37 x 47 x 401
Step 4: Therefore, the least common multiple of 5213 and 5217 is 27196221.