Least Common Multiple of 5301 and 5305
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5301 and 5305 the smallest integer that is 28121805 that is divisible by both numbers.
Least Common Multiple (LCM) of 5301 and 5305 is 28121805.
LCM(5301,5305) = 28121805
LCM of 5301 and 5305
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5301 and 5305 by Prime method
- Least Common Multiple of 5301 and 5305 with GCF Formula
LCM of 5301 and 5305 is 28121805
Least common multiple can be found by multiplying the highest exponent prime factors of 5301 and 5305. First we will calculate the prime factors of 5301 and 5305.
Prime Factorization of 5301
| 3 | 5301 |
| 3 | 1767 |
| 19 | 589 |
| 31 | 31 |
| 1 |
Prime factors of 5301 are 3, 19,31. Prime factorization of 5301 in exponential form is:
5301 = 32×191×311
Prime Factorization of 5305
| 5 | 5305 |
| 1061 | 1061 |
| 1 |
Prime factors of 5305 are 5,1061. Prime factorization of 5305 in exponential form is:
5305 = 51×10611
Now multiplying the highest exponent prime factors to calculate the LCM of 5301 and 5305.
LCM(5301,5305) = 32×51×191×311×10611
LCM(5301,5305) = 28121805
Factors of 5301
List of positive integer factors of 5301 that divides 5301 without a remainder.
1, 3, 9, 19, 31, 57, 93, 171, 279, 589, 1767, 5301
Factors of 5305
List of positive integer factors of 5305 that divides 5305 without a remainder.
1, 5, 1061, 5305
Least Common Multiple of 5301 and 5305 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5301 and 5305, than apply into the LCM equation.
GCF(5301,5305) = 1
LCM(5301,5305) = ( 5301 × 5305) / 1
LCM(5301,5305) = 28121805 / 1
LCM(5301,5305) = 28121805
Properties of LCM 5301 and 5305
(i) The LCM of 5305 and 5301 is associative
LCM of 5301 and 5305 = LCM of 5305 and 5301
Related Least Common Multiples of 5301
Related Least Common Multiples of 5305
Frequently Asked Questions on LCM of 5301 and 5305
1. What is the LCM of 5301 and 5305?
Answer: LCM of 5301 and 5305 is 28121805.
2. What are the Factors of 5301?
Answer: Factors of 5301 are 1, 3, 9, 19, 31, 57, 93, 171, 279, 589, 1767, 5301. There are 12 integers that are factors of 5301. The greatest factor of 5301 is 5301.
3. What are the Factors of 5305?
Answer: Factors of 5305 are 1, 5, 1061, 5305. There are 4 integers that are factors of 5305. The greatest factor of 5305 is 5305.
4. How to Find the LCM of 5301 and 5305?
Answer:
Least Common Multiple of 5301 and 5305 = 28121805
Step 1: Find the prime factorization of 5301
5301 = 3 x 3 x 19 x 31
Step 2: Find the prime factorization of 5305
5305 = 5 x 1061
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28121805 = 3 x 3 x 5 x 19 x 31 x 1061
Step 4: Therefore, the least common multiple of 5301 and 5305 is 28121805.