Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9365 and 9373 the smallest integer that is 87778145 that is divisible by both numbers.
Least Common Multiple (LCM) of 9365 and 9373 is 87778145.
LCM(9365,9373) = 87778145
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9365 and 9373. First we will calculate the prime factors of 9365 and 9373.
Prime Factorization of 9365
5 | 9365 |
1873 | 1873 |
1 |
Prime factors of 9365 are 5,1873. Prime factorization of 9365 in exponential form is:
9365 = 51×18731
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9365 and 9373.
LCM(9365,9373) = 51×71×131×1031×18731
LCM(9365,9373) = 87778145
Factors of 9365
List of positive integer factors of 9365 that divides 9365 without a remainder.
1, 5, 1873, 9365
Factors of 9373
List of positive integer factors of 9373 that divides 9373 without a remainder.
1, 7, 13, 91, 103, 721, 1339, 9373
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9365 and 9373, than apply into the LCM equation.
GCF(9365,9373) = 1
LCM(9365,9373) = ( 9365 × 9373) / 1
LCM(9365,9373) = 87778145 / 1
LCM(9365,9373) = 87778145
(i) The LCM of 9373 and 9365 is associative
LCM of 9365 and 9373 = LCM of 9373 and 9365
1. What is the LCM of 9365 and 9373?
Answer: LCM of 9365 and 9373 is 87778145.
2. What are the Factors of 9365?
Answer: Factors of 9365 are 1, 5, 1873, 9365. There are 4 integers that are factors of 9365. The greatest factor of 9365 is 9365.
3. 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.
4. How to Find the LCM of 9365 and 9373?
Answer:
Least Common Multiple of 9365 and 9373 = 87778145
Step 1: Find the prime factorization of 9365
9365 = 5 x 1873
Step 2: Find the prime factorization of 9373
9373 = 7 x 13 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87778145 = 5 x 7 x 13 x 103 x 1873
Step 4: Therefore, the least common multiple of 9365 and 9373 is 87778145.