Least Common Multiple of 9373 and 9381
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9373 and 9381 the smallest integer that is 87928113 that is divisible by both numbers.
Least Common Multiple (LCM) of 9373 and 9381 is 87928113.
LCM(9373,9381) = 87928113
LCM of 9373 and 9381
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9373 and 9381 by Prime method
- Least Common Multiple of 9373 and 9381 with GCF Formula
LCM of 9373 and 9381 is 87928113
Least common multiple can be found by multiplying the highest exponent prime factors of 9373 and 9381. First we will calculate the prime factors of 9373 and 9381.
Prime Factorization of 9373
| 7 | 9373 |
| 13 | 1339 |
| 103 | 103 |
| 1 |
Prime factors of 9373 are 7, 13,103. Prime factorization of 9373 in exponential form is:
9373 = 71×131×1031
Prime Factorization of 9381
| 3 | 9381 |
| 53 | 3127 |
| 59 | 59 |
| 1 |
Prime factors of 9381 are 3, 53,59. Prime factorization of 9381 in exponential form is:
9381 = 31×531×591
Now multiplying the highest exponent prime factors to calculate the LCM of 9373 and 9381.
LCM(9373,9381) = 31×71×131×531×591×1031
LCM(9373,9381) = 87928113
Factors of 9373
List of positive integer factors of 9373 that divides 9373 without a remainder.
1, 7, 13, 91, 103, 721, 1339, 9373
Factors of 9381
List of positive integer factors of 9381 that divides 9381 without a remainder.
1, 3, 53, 59, 159, 177, 3127, 9381
Least Common Multiple of 9373 and 9381 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9373 and 9381, than apply into the LCM equation.
GCF(9373,9381) = 1
LCM(9373,9381) = ( 9373 × 9381) / 1
LCM(9373,9381) = 87928113 / 1
LCM(9373,9381) = 87928113
Properties of LCM 9373 and 9381
(i) The LCM of 9381 and 9373 is associative
LCM of 9373 and 9381 = LCM of 9381 and 9373
Related Least Common Multiples of 9373
Related Least Common Multiples of 9381
Frequently Asked Questions on LCM of 9373 and 9381
1. What is the LCM of 9373 and 9381?
Answer: LCM of 9373 and 9381 is 87928113.
2. What are the Factors of 9373?
Answer: Factors of 9373 are 1, 7, 13, 91, 103, 721, 1339, 9373. There are 8 integers that are factors of 9373. The greatest factor of 9373 is 9373.
3. What are the Factors of 9381?
Answer: Factors of 9381 are 1, 3, 53, 59, 159, 177, 3127, 9381. There are 8 integers that are factors of 9381. The greatest factor of 9381 is 9381.
4. How to Find the LCM of 9373 and 9381?
Answer:
Least Common Multiple of 9373 and 9381 = 87928113
Step 1: Find the prime factorization of 9373
9373 = 7 x 13 x 103
Step 2: Find the prime factorization of 9381
9381 = 3 x 53 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87928113 = 3 x 7 x 13 x 53 x 59 x 103
Step 4: Therefore, the least common multiple of 9373 and 9381 is 87928113.