Least Common Multiple of 5311 and 5319
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5311 and 5319 the smallest integer that is 28249209 that is divisible by both numbers.
Least Common Multiple (LCM) of 5311 and 5319 is 28249209.
LCM(5311,5319) = 28249209
LCM of 5311 and 5319
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5311 and 5319 by Prime method
- Least Common Multiple of 5311 and 5319 with GCF Formula
LCM of 5311 and 5319 is 28249209
Least common multiple can be found by multiplying the highest exponent prime factors of 5311 and 5319. First we will calculate the prime factors of 5311 and 5319.
Prime Factorization of 5311
| 47 | 5311 |
| 113 | 113 |
| 1 |
Prime factors of 5311 are 47,113. Prime factorization of 5311 in exponential form is:
5311 = 471×1131
Prime Factorization of 5319
| 3 | 5319 |
| 3 | 1773 |
| 3 | 591 |
| 197 | 197 |
| 1 |
Prime factors of 5319 are 3,197. Prime factorization of 5319 in exponential form is:
5319 = 33×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 5311 and 5319.
LCM(5311,5319) = 33×471×1131×1971
LCM(5311,5319) = 28249209
Factors of 5311
List of positive integer factors of 5311 that divides 5311 without a remainder.
1, 47, 113, 5311
Factors of 5319
List of positive integer factors of 5319 that divides 5319 without a remainder.
1, 3, 9, 27, 197, 591, 1773, 5319
Least Common Multiple of 5311 and 5319 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5311 and 5319, than apply into the LCM equation.
GCF(5311,5319) = 1
LCM(5311,5319) = ( 5311 × 5319) / 1
LCM(5311,5319) = 28249209 / 1
LCM(5311,5319) = 28249209
Properties of LCM 5311 and 5319
(i) The LCM of 5319 and 5311 is associative
LCM of 5311 and 5319 = LCM of 5319 and 5311
Related Least Common Multiples of 5311
Related Least Common Multiples of 5319
Frequently Asked Questions on LCM of 5311 and 5319
1. What is the LCM of 5311 and 5319?
Answer: LCM of 5311 and 5319 is 28249209.
2. What are the Factors of 5311?
Answer: Factors of 5311 are 1, 47, 113, 5311. There are 4 integers that are factors of 5311. The greatest factor of 5311 is 5311.
3. What are the Factors of 5319?
Answer: Factors of 5319 are 1, 3, 9, 27, 197, 591, 1773, 5319. There are 8 integers that are factors of 5319. The greatest factor of 5319 is 5319.
4. How to Find the LCM of 5311 and 5319?
Answer:
Least Common Multiple of 5311 and 5319 = 28249209
Step 1: Find the prime factorization of 5311
5311 = 47 x 113
Step 2: Find the prime factorization of 5319
5319 = 3 x 3 x 3 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28249209 = 3 x 3 x 3 x 47 x 113 x 197
Step 4: Therefore, the least common multiple of 5311 and 5319 is 28249209.