Least Common Multiple of 5321 and 5327
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5321 and 5327 the smallest integer that is 28344967 that is divisible by both numbers.
Least Common Multiple (LCM) of 5321 and 5327 is 28344967.
LCM(5321,5327) = 28344967
LCM of 5321 and 5327
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5321 and 5327 by Prime method
- Least Common Multiple of 5321 and 5327 with GCF Formula
LCM of 5321 and 5327 is 28344967
Least common multiple can be found by multiplying the highest exponent prime factors of 5321 and 5327. First we will calculate the prime factors of 5321 and 5327.
Prime Factorization of 5321
| 17 | 5321 |
| 313 | 313 |
| 1 |
Prime factors of 5321 are 17,313. Prime factorization of 5321 in exponential form is:
5321 = 171×3131
Prime Factorization of 5327
| 7 | 5327 |
| 761 | 761 |
| 1 |
Prime factors of 5327 are 7,761. Prime factorization of 5327 in exponential form is:
5327 = 71×7611
Now multiplying the highest exponent prime factors to calculate the LCM of 5321 and 5327.
LCM(5321,5327) = 71×171×3131×7611
LCM(5321,5327) = 28344967
Factors of 5321
List of positive integer factors of 5321 that divides 5321 without a remainder.
1, 17, 313, 5321
Factors of 5327
List of positive integer factors of 5327 that divides 5327 without a remainder.
1, 7, 761, 5327
Least Common Multiple of 5321 and 5327 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5321 and 5327, than apply into the LCM equation.
GCF(5321,5327) = 1
LCM(5321,5327) = ( 5321 × 5327) / 1
LCM(5321,5327) = 28344967 / 1
LCM(5321,5327) = 28344967
Properties of LCM 5321 and 5327
(i) The LCM of 5327 and 5321 is associative
LCM of 5321 and 5327 = LCM of 5327 and 5321
Related Least Common Multiples of 5321
Related Least Common Multiples of 5327
Frequently Asked Questions on LCM of 5321 and 5327
1. What is the LCM of 5321 and 5327?
Answer: LCM of 5321 and 5327 is 28344967.
2. What are the Factors of 5321?
Answer: Factors of 5321 are 1, 17, 313, 5321. There are 4 integers that are factors of 5321. The greatest factor of 5321 is 5321.
3. What are the Factors of 5327?
Answer: Factors of 5327 are 1, 7, 761, 5327. There are 4 integers that are factors of 5327. The greatest factor of 5327 is 5327.
4. How to Find the LCM of 5321 and 5327?
Answer:
Least Common Multiple of 5321 and 5327 = 28344967
Step 1: Find the prime factorization of 5321
5321 = 17 x 313
Step 2: Find the prime factorization of 5327
5327 = 7 x 761
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28344967 = 7 x 17 x 313 x 761
Step 4: Therefore, the least common multiple of 5321 and 5327 is 28344967.