Least Common Multiple of 5301 and 5306
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 5306 the smallest integer that is 28127106 that is divisible by both numbers.
Least Common Multiple (LCM) of 5301 and 5306 is 28127106.
LCM(5301,5306) = 28127106
LCM of 5301 and 5306
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5301 and 5306 by Prime method
- Least Common Multiple of 5301 and 5306 with GCF Formula
LCM of 5301 and 5306 is 28127106
Least common multiple can be found by multiplying the highest exponent prime factors of 5301 and 5306. First we will calculate the prime factors of 5301 and 5306.
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 5306
| 2 | 5306 |
| 7 | 2653 |
| 379 | 379 |
| 1 |
Prime factors of 5306 are 2, 7,379. Prime factorization of 5306 in exponential form is:
5306 = 21×71×3791
Now multiplying the highest exponent prime factors to calculate the LCM of 5301 and 5306.
LCM(5301,5306) = 21×32×71×191×311×3791
LCM(5301,5306) = 28127106
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 5306
List of positive integer factors of 5306 that divides 5306 without a remainder.
1, 2, 7, 14, 379, 758, 2653, 5306
Least Common Multiple of 5301 and 5306 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 5306, than apply into the LCM equation.
GCF(5301,5306) = 1
LCM(5301,5306) = ( 5301 × 5306) / 1
LCM(5301,5306) = 28127106 / 1
LCM(5301,5306) = 28127106
Properties of LCM 5301 and 5306
(i) The LCM of 5306 and 5301 is associative
LCM of 5301 and 5306 = LCM of 5306 and 5301
Related Least Common Multiples of 5301
Related Least Common Multiples of 5306
Frequently Asked Questions on LCM of 5301 and 5306
1. What is the LCM of 5301 and 5306?
Answer: LCM of 5301 and 5306 is 28127106.
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 5306?
Answer: Factors of 5306 are 1, 2, 7, 14, 379, 758, 2653, 5306. There are 8 integers that are factors of 5306. The greatest factor of 5306 is 5306.
4. How to Find the LCM of 5301 and 5306?
Answer:
Least Common Multiple of 5301 and 5306 = 28127106
Step 1: Find the prime factorization of 5301
5301 = 3 x 3 x 19 x 31
Step 2: Find the prime factorization of 5306
5306 = 2 x 7 x 379
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28127106 = 2 x 3 x 3 x 7 x 19 x 31 x 379
Step 4: Therefore, the least common multiple of 5301 and 5306 is 28127106.