Least Common Multiple of 9295 and 9301
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9295 and 9301 the smallest integer that is 86452795 that is divisible by both numbers.
Least Common Multiple (LCM) of 9295 and 9301 is 86452795.
LCM(9295,9301) = 86452795
LCM of 9295 and 9301
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9295 and 9301 by Prime method
- Least Common Multiple of 9295 and 9301 with GCF Formula
LCM of 9295 and 9301 is 86452795
Least common multiple can be found by multiplying the highest exponent prime factors of 9295 and 9301. First we will calculate the prime factors of 9295 and 9301.
Prime Factorization of 9295
| 5 | 9295 |
| 11 | 1859 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 9295 are 5, 11,13. Prime factorization of 9295 in exponential form is:
9295 = 51×111×132
Prime Factorization of 9301
| 71 | 9301 |
| 131 | 131 |
| 1 |
Prime factors of 9301 are 71,131. Prime factorization of 9301 in exponential form is:
9301 = 711×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 9295 and 9301.
LCM(9295,9301) = 51×111×132×711×1311
LCM(9295,9301) = 86452795
Factors of 9295
List of positive integer factors of 9295 that divides 9295 without a remainder.
1, 5, 11, 13, 55, 65, 143, 169, 715, 845, 1859, 9295
Factors of 9301
List of positive integer factors of 9301 that divides 9301 without a remainder.
1, 71, 131, 9301
Least Common Multiple of 9295 and 9301 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9295 and 9301, than apply into the LCM equation.
GCF(9295,9301) = 1
LCM(9295,9301) = ( 9295 × 9301) / 1
LCM(9295,9301) = 86452795 / 1
LCM(9295,9301) = 86452795
Properties of LCM 9295 and 9301
(i) The LCM of 9301 and 9295 is associative
LCM of 9295 and 9301 = LCM of 9301 and 9295
Related Least Common Multiples of 9295
Related Least Common Multiples of 9301
Frequently Asked Questions on LCM of 9295 and 9301
1. What is the LCM of 9295 and 9301?
Answer: LCM of 9295 and 9301 is 86452795.
2. What are the Factors of 9295?
Answer: Factors of 9295 are 1, 5, 11, 13, 55, 65, 143, 169, 715, 845, 1859, 9295. There are 12 integers that are factors of 9295. The greatest factor of 9295 is 9295.
3. What are the Factors of 9301?
Answer: Factors of 9301 are 1, 71, 131, 9301. There are 4 integers that are factors of 9301. The greatest factor of 9301 is 9301.
4. How to Find the LCM of 9295 and 9301?
Answer:
Least Common Multiple of 9295 and 9301 = 86452795
Step 1: Find the prime factorization of 9295
9295 = 5 x 11 x 13 x 13
Step 2: Find the prime factorization of 9301
9301 = 71 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 86452795 = 5 x 11 x 13 x 13 x 71 x 131
Step 4: Therefore, the least common multiple of 9295 and 9301 is 86452795.