Least Common Multiple of 5291 and 5299
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5291 and 5299 the smallest integer that is 28037009 that is divisible by both numbers.
Least Common Multiple (LCM) of 5291 and 5299 is 28037009.
LCM(5291,5299) = 28037009
LCM of 5291 and 5299
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5291 and 5299 by Prime method
- Least Common Multiple of 5291 and 5299 with GCF Formula
LCM of 5291 and 5299 is 28037009
Least common multiple can be found by multiplying the highest exponent prime factors of 5291 and 5299. First we will calculate the prime factors of 5291 and 5299.
Prime Factorization of 5291
| 11 | 5291 |
| 13 | 481 |
| 37 | 37 |
| 1 |
Prime factors of 5291 are 11, 13,37. Prime factorization of 5291 in exponential form is:
5291 = 111×131×371
Prime Factorization of 5299
| 7 | 5299 |
| 757 | 757 |
| 1 |
Prime factors of 5299 are 7,757. Prime factorization of 5299 in exponential form is:
5299 = 71×7571
Now multiplying the highest exponent prime factors to calculate the LCM of 5291 and 5299.
LCM(5291,5299) = 71×111×131×371×7571
LCM(5291,5299) = 28037009
Factors of 5291
List of positive integer factors of 5291 that divides 5291 without a remainder.
1, 11, 13, 37, 143, 407, 481, 5291
Factors of 5299
List of positive integer factors of 5299 that divides 5299 without a remainder.
1, 7, 757, 5299
Least Common Multiple of 5291 and 5299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5291 and 5299, than apply into the LCM equation.
GCF(5291,5299) = 1
LCM(5291,5299) = ( 5291 × 5299) / 1
LCM(5291,5299) = 28037009 / 1
LCM(5291,5299) = 28037009
Properties of LCM 5291 and 5299
(i) The LCM of 5299 and 5291 is associative
LCM of 5291 and 5299 = LCM of 5299 and 5291
Related Least Common Multiples of 5291
Related Least Common Multiples of 5299
Frequently Asked Questions on LCM of 5291 and 5299
1. What is the LCM of 5291 and 5299?
Answer: LCM of 5291 and 5299 is 28037009.
2. What are the Factors of 5291?
Answer: Factors of 5291 are 1, 11, 13, 37, 143, 407, 481, 5291. There are 8 integers that are factors of 5291. The greatest factor of 5291 is 5291.
3. What are the Factors of 5299?
Answer: Factors of 5299 are 1, 7, 757, 5299. There are 4 integers that are factors of 5299. The greatest factor of 5299 is 5299.
4. How to Find the LCM of 5291 and 5299?
Answer:
Least Common Multiple of 5291 and 5299 = 28037009
Step 1: Find the prime factorization of 5291
5291 = 11 x 13 x 37
Step 2: Find the prime factorization of 5299
5299 = 7 x 757
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28037009 = 7 x 11 x 13 x 37 x 757
Step 4: Therefore, the least common multiple of 5291 and 5299 is 28037009.