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 9250 the smallest integer that is 85497750 that is divisible by both numbers.
Least Common Multiple (LCM) of 9243 and 9250 is 85497750.
LCM(9243,9250) = 85497750
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 9250. First we will calculate the prime factors of 9243 and 9250.
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 9250
2 | 9250 |
5 | 4625 |
5 | 925 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 9250 are 2, 5,37. Prime factorization of 9250 in exponential form is:
9250 = 21×53×371
Now multiplying the highest exponent prime factors to calculate the LCM of 9243 and 9250.
LCM(9243,9250) = 21×32×53×131×371×791
LCM(9243,9250) = 85497750
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 9250
List of positive integer factors of 9250 that divides 9250 without a remainder.
1, 2, 5, 10, 25, 37, 50, 74, 125, 185, 250, 370, 925, 1850, 4625, 9250
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9243 and 9250, than apply into the LCM equation.
GCF(9243,9250) = 1
LCM(9243,9250) = ( 9243 × 9250) / 1
LCM(9243,9250) = 85497750 / 1
LCM(9243,9250) = 85497750
(i) The LCM of 9250 and 9243 is associative
LCM of 9243 and 9250 = LCM of 9250 and 9243
1. What is the LCM of 9243 and 9250?
Answer: LCM of 9243 and 9250 is 85497750.
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 9250?
Answer: Factors of 9250 are 1, 2, 5, 10, 25, 37, 50, 74, 125, 185, 250, 370, 925, 1850, 4625, 9250. There are 16 integers that are factors of 9250. The greatest factor of 9250 is 9250.
4. How to Find the LCM of 9243 and 9250?
Answer:
Least Common Multiple of 9243 and 9250 = 85497750
Step 1: Find the prime factorization of 9243
9243 = 3 x 3 x 13 x 79
Step 2: Find the prime factorization of 9250
9250 = 2 x 5 x 5 x 5 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 85497750 = 2 x 3 x 3 x 5 x 5 x 5 x 13 x 37 x 79
Step 4: Therefore, the least common multiple of 9243 and 9250 is 85497750.