Least Common Multiple of 9245 and 9253
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9245 and 9253 the smallest integer that is 85543985 that is divisible by both numbers.
Least Common Multiple (LCM) of 9245 and 9253 is 85543985.
LCM(9245,9253) = 85543985
LCM of 9245 and 9253
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9245 and 9253 by Prime method
- Least Common Multiple of 9245 and 9253 with GCF Formula
LCM of 9245 and 9253 is 85543985
Least common multiple can be found by multiplying the highest exponent prime factors of 9245 and 9253. First we will calculate the prime factors of 9245 and 9253.
Prime Factorization of 9245
| 5 | 9245 |
| 43 | 1849 |
| 43 | 43 |
| 1 |
Prime factors of 9245 are 5,43. Prime factorization of 9245 in exponential form is:
9245 = 51×432
Prime Factorization of 9253
| 19 | 9253 |
| 487 | 487 |
| 1 |
Prime factors of 9253 are 19,487. Prime factorization of 9253 in exponential form is:
9253 = 191×4871
Now multiplying the highest exponent prime factors to calculate the LCM of 9245 and 9253.
LCM(9245,9253) = 51×191×432×4871
LCM(9245,9253) = 85543985
Factors of 9245
List of positive integer factors of 9245 that divides 9245 without a remainder.
1, 5, 43, 215, 1849, 9245
Factors of 9253
List of positive integer factors of 9253 that divides 9253 without a remainder.
1, 19, 487, 9253
Least Common Multiple of 9245 and 9253 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9245 and 9253, than apply into the LCM equation.
GCF(9245,9253) = 1
LCM(9245,9253) = ( 9245 × 9253) / 1
LCM(9245,9253) = 85543985 / 1
LCM(9245,9253) = 85543985
Properties of LCM 9245 and 9253
(i) The LCM of 9253 and 9245 is associative
LCM of 9245 and 9253 = LCM of 9253 and 9245
Related Least Common Multiples of 9245
Related Least Common Multiples of 9253
Frequently Asked Questions on LCM of 9245 and 9253
1. What is the LCM of 9245 and 9253?
Answer: LCM of 9245 and 9253 is 85543985.
2. What are the Factors of 9245?
Answer: Factors of 9245 are 1, 5, 43, 215, 1849, 9245. There are 6 integers that are factors of 9245. The greatest factor of 9245 is 9245.
3. What are the Factors of 9253?
Answer: Factors of 9253 are 1, 19, 487, 9253. There are 4 integers that are factors of 9253. The greatest factor of 9253 is 9253.
4. How to Find the LCM of 9245 and 9253?
Answer:
Least Common Multiple of 9245 and 9253 = 85543985
Step 1: Find the prime factorization of 9245
9245 = 5 x 43 x 43
Step 2: Find the prime factorization of 9253
9253 = 19 x 487
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 85543985 = 5 x 19 x 43 x 43 x 487
Step 4: Therefore, the least common multiple of 9245 and 9253 is 85543985.