Least Common Multiple of 9373 and 9377
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 9377 the smallest integer that is 87890621 that is divisible by both numbers.
Least Common Multiple (LCM) of 9373 and 9377 is 87890621.
LCM(9373,9377) = 87890621
LCM of 9373 and 9377
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9373 and 9377 by Prime method
- Least Common Multiple of 9373 and 9377 with GCF Formula
LCM of 9373 and 9377 is 87890621
Least common multiple can be found by multiplying the highest exponent prime factors of 9373 and 9377. First we will calculate the prime factors of 9373 and 9377.
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 9377
| 9377 | 9377 |
| 1 |
Prime factors of 9377 are 9377. Prime factorization of 9377 in exponential form is:
9377 = 93771
Now multiplying the highest exponent prime factors to calculate the LCM of 9373 and 9377.
LCM(9373,9377) = 71×131×1031×93771
LCM(9373,9377) = 87890621
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 9377
List of positive integer factors of 9377 that divides 9377 without a remainder.
1, 9377
Least Common Multiple of 9373 and 9377 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 9377, than apply into the LCM equation.
GCF(9373,9377) = 1
LCM(9373,9377) = ( 9373 × 9377) / 1
LCM(9373,9377) = 87890621 / 1
LCM(9373,9377) = 87890621
Properties of LCM 9373 and 9377
(i) The LCM of 9377 and 9373 is associative
LCM of 9373 and 9377 = LCM of 9377 and 9373
Related Least Common Multiples of 9373
Related Least Common Multiples of 9377
Frequently Asked Questions on LCM of 9373 and 9377
1. What is the LCM of 9373 and 9377?
Answer: LCM of 9373 and 9377 is 87890621.
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 9377?
Answer: Factors of 9377 are 1, 9377. There are 2 integers that are factors of 9377. The greatest factor of 9377 is 9377.
4. How to Find the LCM of 9373 and 9377?
Answer:
Least Common Multiple of 9373 and 9377 = 87890621
Step 1: Find the prime factorization of 9373
9373 = 7 x 13 x 103
Step 2: Find the prime factorization of 9377
9377 = 9377
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87890621 = 7 x 13 x 103 x 9377
Step 4: Therefore, the least common multiple of 9373 and 9377 is 87890621.