Least Common Multiple of 9238 and 9243
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9238 and 9243 the smallest integer that is 85386834 that is divisible by both numbers.
Least Common Multiple (LCM) of 9238 and 9243 is 85386834.
LCM(9238,9243) = 85386834
LCM of 9238 and 9243
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9238 and 9243 by Prime method
- Least Common Multiple of 9238 and 9243 with GCF Formula
LCM of 9238 and 9243 is 85386834
Least common multiple can be found by multiplying the highest exponent prime factors of 9238 and 9243. First we will calculate the prime factors of 9238 and 9243.
Prime Factorization of 9238
| 2 | 9238 |
| 31 | 4619 |
| 149 | 149 |
| 1 |
Prime factors of 9238 are 2, 31,149. Prime factorization of 9238 in exponential form is:
9238 = 21×311×1491
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9238 and 9243.
LCM(9238,9243) = 21×32×131×311×791×1491
LCM(9238,9243) = 85386834
Factors of 9238
List of positive integer factors of 9238 that divides 9238 without a remainder.
1, 2, 31, 62, 149, 298, 4619, 9238
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
Least Common Multiple of 9238 and 9243 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9238 and 9243, than apply into the LCM equation.
GCF(9238,9243) = 1
LCM(9238,9243) = ( 9238 × 9243) / 1
LCM(9238,9243) = 85386834 / 1
LCM(9238,9243) = 85386834
Properties of LCM 9238 and 9243
(i) The LCM of 9243 and 9238 is associative
LCM of 9238 and 9243 = LCM of 9243 and 9238
Related Least Common Multiples of 9238
Related Least Common Multiples of 9243
Frequently Asked Questions on LCM of 9238 and 9243
1. What is the LCM of 9238 and 9243?
Answer: LCM of 9238 and 9243 is 85386834.
2. What are the Factors of 9238?
Answer: Factors of 9238 are 1, 2, 31, 62, 149, 298, 4619, 9238. There are 8 integers that are factors of 9238. The greatest factor of 9238 is 9238.
3. 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.
4. How to Find the LCM of 9238 and 9243?
Answer:
Least Common Multiple of 9238 and 9243 = 85386834
Step 1: Find the prime factorization of 9238
9238 = 2 x 31 x 149
Step 2: Find the prime factorization of 9243
9243 = 3 x 3 x 13 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 85386834 = 2 x 3 x 3 x 13 x 31 x 79 x 149
Step 4: Therefore, the least common multiple of 9238 and 9243 is 85386834.