Least Common Multiple of 9313 and 9321
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9313 and 9321 the smallest integer that is 86806473 that is divisible by both numbers.
Least Common Multiple (LCM) of 9313 and 9321 is 86806473.
LCM(9313,9321) = 86806473
LCM of 9313 and 9321
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9313 and 9321 by Prime method
- Least Common Multiple of 9313 and 9321 with GCF Formula
LCM of 9313 and 9321 is 86806473
Least common multiple can be found by multiplying the highest exponent prime factors of 9313 and 9321. First we will calculate the prime factors of 9313 and 9321.
Prime Factorization of 9313
| 67 | 9313 |
| 139 | 139 |
| 1 |
Prime factors of 9313 are 67,139. Prime factorization of 9313 in exponential form is:
9313 = 671×1391
Prime Factorization of 9321
| 3 | 9321 |
| 13 | 3107 |
| 239 | 239 |
| 1 |
Prime factors of 9321 are 3, 13,239. Prime factorization of 9321 in exponential form is:
9321 = 31×131×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 9313 and 9321.
LCM(9313,9321) = 31×131×671×1391×2391
LCM(9313,9321) = 86806473
Factors of 9313
List of positive integer factors of 9313 that divides 9313 without a remainder.
1, 67, 139, 9313
Factors of 9321
List of positive integer factors of 9321 that divides 9321 without a remainder.
1, 3, 13, 39, 239, 717, 3107, 9321
Least Common Multiple of 9313 and 9321 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9313 and 9321, than apply into the LCM equation.
GCF(9313,9321) = 1
LCM(9313,9321) = ( 9313 × 9321) / 1
LCM(9313,9321) = 86806473 / 1
LCM(9313,9321) = 86806473
Properties of LCM 9313 and 9321
(i) The LCM of 9321 and 9313 is associative
LCM of 9313 and 9321 = LCM of 9321 and 9313
Related Least Common Multiples of 9313
Related Least Common Multiples of 9321
Frequently Asked Questions on LCM of 9313 and 9321
1. What is the LCM of 9313 and 9321?
Answer: LCM of 9313 and 9321 is 86806473.
2. What are the Factors of 9313?
Answer: Factors of 9313 are 1, 67, 139, 9313. There are 4 integers that are factors of 9313. The greatest factor of 9313 is 9313.
3. What are the Factors of 9321?
Answer: Factors of 9321 are 1, 3, 13, 39, 239, 717, 3107, 9321. There are 8 integers that are factors of 9321. The greatest factor of 9321 is 9321.
4. How to Find the LCM of 9313 and 9321?
Answer:
Least Common Multiple of 9313 and 9321 = 86806473
Step 1: Find the prime factorization of 9313
9313 = 67 x 139
Step 2: Find the prime factorization of 9321
9321 = 3 x 13 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 86806473 = 3 x 13 x 67 x 139 x 239
Step 4: Therefore, the least common multiple of 9313 and 9321 is 86806473.