Least Common Multiple of 5322 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 5322 and 5327 the smallest integer that is 28350294 that is divisible by both numbers.
Least Common Multiple (LCM) of 5322 and 5327 is 28350294.
LCM(5322,5327) = 28350294
LCM of 5322 and 5327
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5322 and 5327 by Prime method
- Least Common Multiple of 5322 and 5327 with GCF Formula
LCM of 5322 and 5327 is 28350294
Least common multiple can be found by multiplying the highest exponent prime factors of 5322 and 5327. First we will calculate the prime factors of 5322 and 5327.
Prime Factorization of 5322
| 2 | 5322 |
| 3 | 2661 |
| 887 | 887 |
| 1 |
Prime factors of 5322 are 2, 3,887. Prime factorization of 5322 in exponential form is:
5322 = 21×31×8871
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 5322 and 5327.
LCM(5322,5327) = 21×31×71×7611×8871
LCM(5322,5327) = 28350294
Factors of 5322
List of positive integer factors of 5322 that divides 5322 without a remainder.
1, 2, 3, 6, 887, 1774, 2661, 5322
Factors of 5327
List of positive integer factors of 5327 that divides 5327 without a remainder.
1, 7, 761, 5327
Least Common Multiple of 5322 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 5322 and 5327, than apply into the LCM equation.
GCF(5322,5327) = 1
LCM(5322,5327) = ( 5322 × 5327) / 1
LCM(5322,5327) = 28350294 / 1
LCM(5322,5327) = 28350294
Properties of LCM 5322 and 5327
(i) The LCM of 5327 and 5322 is associative
LCM of 5322 and 5327 = LCM of 5327 and 5322
Related Least Common Multiples of 5322
Related Least Common Multiples of 5327
Frequently Asked Questions on LCM of 5322 and 5327
1. What is the LCM of 5322 and 5327?
Answer: LCM of 5322 and 5327 is 28350294.
2. What are the Factors of 5322?
Answer: Factors of 5322 are 1, 2, 3, 6, 887, 1774, 2661, 5322. There are 8 integers that are factors of 5322. The greatest factor of 5322 is 5322.
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 5322 and 5327?
Answer:
Least Common Multiple of 5322 and 5327 = 28350294
Step 1: Find the prime factorization of 5322
5322 = 2 x 3 x 887
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 = 28350294 = 2 x 3 x 7 x 761 x 887
Step 4: Therefore, the least common multiple of 5322 and 5327 is 28350294.