Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9337 and 9341 the smallest integer that is 87216917 that is divisible by both numbers.
Least Common Multiple (LCM) of 9337 and 9341 is 87216917.
LCM(9337,9341) = 87216917
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 9337 and 9341. First we will calculate the prime factors of 9337 and 9341.
Prime Factorization of 9337
9337 | 9337 |
1 |
Prime factors of 9337 are 9337. Prime factorization of 9337 in exponential form is:
9337 = 93371
Prime Factorization of 9341
9341 | 9341 |
1 |
Prime factors of 9341 are 9341. Prime factorization of 9341 in exponential form is:
9341 = 93411
Now multiplying the highest exponent prime factors to calculate the LCM of 9337 and 9341.
LCM(9337,9341) = 93371×93411
LCM(9337,9341) = 87216917
Factors of 9337
List of positive integer factors of 9337 that divides 9337 without a remainder.
1, 9337
Factors of 9341
List of positive integer factors of 9341 that divides 9341 without a remainder.
1, 9341
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9337 and 9341, than apply into the LCM equation.
GCF(9337,9341) = 1
LCM(9337,9341) = ( 9337 × 9341) / 1
LCM(9337,9341) = 87216917 / 1
LCM(9337,9341) = 87216917
(i) The LCM of 9341 and 9337 is associative
LCM of 9337 and 9341 = LCM of 9341 and 9337
1. What is the LCM of 9337 and 9341?
Answer: LCM of 9337 and 9341 is 87216917.
2. What are the Factors of 9337?
Answer: Factors of 9337 are 1, 9337. There are 2 integers that are factors of 9337. The greatest factor of 9337 is 9337.
3. What are the Factors of 9341?
Answer: Factors of 9341 are 1, 9341. There are 2 integers that are factors of 9341. The greatest factor of 9341 is 9341.
4. How to Find the LCM of 9337 and 9341?
Answer:
Least Common Multiple of 9337 and 9341 = 87216917
Step 1: Find the prime factorization of 9337
9337 = 9337
Step 2: Find the prime factorization of 9341
9341 = 9341
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87216917 = 9337 x 9341
Step 4: Therefore, the least common multiple of 9337 and 9341 is 87216917.