Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9243 and 9247 the smallest integer that is 85470021 that is divisible by both numbers.
Least Common Multiple (LCM) of 9243 and 9247 is 85470021.
LCM(9243,9247) = 85470021
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 9243 and 9247. First we will calculate the prime factors of 9243 and 9247.
Prime Factorization of 9243
3 | 9243 |
3 | 3081 |
13 | 1027 |
79 | 79 |
1 |
Prime factors of 9243 are 3, 13,79. Prime factorization of 9243 in exponential form is:
9243 = 32×131×791
Prime Factorization of 9247
7 | 9247 |
1321 | 1321 |
1 |
Prime factors of 9247 are 7,1321. Prime factorization of 9247 in exponential form is:
9247 = 71×13211
Now multiplying the highest exponent prime factors to calculate the LCM of 9243 and 9247.
LCM(9243,9247) = 32×71×131×791×13211
LCM(9243,9247) = 85470021
Factors of 9243
List of positive integer factors of 9243 that divides 9243 without a remainder.
1, 3, 9, 13, 39, 79, 117, 237, 711, 1027, 3081, 9243
Factors of 9247
List of positive integer factors of 9247 that divides 9247 without a remainder.
1, 7, 1321, 9247
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9243 and 9247, than apply into the LCM equation.
GCF(9243,9247) = 1
LCM(9243,9247) = ( 9243 × 9247) / 1
LCM(9243,9247) = 85470021 / 1
LCM(9243,9247) = 85470021
(i) The LCM of 9247 and 9243 is associative
LCM of 9243 and 9247 = LCM of 9247 and 9243
1. What is the LCM of 9243 and 9247?
Answer: LCM of 9243 and 9247 is 85470021.
2. What are the Factors of 9243?
Answer: Factors of 9243 are 1, 3, 9, 13, 39, 79, 117, 237, 711, 1027, 3081, 9243. There are 12 integers that are factors of 9243. The greatest factor of 9243 is 9243.
3. What are the Factors of 9247?
Answer: Factors of 9247 are 1, 7, 1321, 9247. There are 4 integers that are factors of 9247. The greatest factor of 9247 is 9247.
4. How to Find the LCM of 9243 and 9247?
Answer:
Least Common Multiple of 9243 and 9247 = 85470021
Step 1: Find the prime factorization of 9243
9243 = 3 x 3 x 13 x 79
Step 2: Find the prime factorization of 9247
9247 = 7 x 1321
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 85470021 = 3 x 3 x 7 x 13 x 79 x 1321
Step 4: Therefore, the least common multiple of 9243 and 9247 is 85470021.