Least Common Multiple of 9239 and 9245
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9239 and 9245 the smallest integer that is 85414555 that is divisible by both numbers.
Least Common Multiple (LCM) of 9239 and 9245 is 85414555.
LCM(9239,9245) = 85414555
LCM of 9239 and 9245
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9239 and 9245 by Prime method
- Least Common Multiple of 9239 and 9245 with GCF Formula
LCM of 9239 and 9245 is 85414555
Least common multiple can be found by multiplying the highest exponent prime factors of 9239 and 9245. First we will calculate the prime factors of 9239 and 9245.
Prime Factorization of 9239
| 9239 | 9239 |
| 1 |
Prime factors of 9239 are 9239. Prime factorization of 9239 in exponential form is:
9239 = 92391
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9239 and 9245.
LCM(9239,9245) = 51×432×92391
LCM(9239,9245) = 85414555
Factors of 9239
List of positive integer factors of 9239 that divides 9239 without a remainder.
1, 9239
Factors of 9245
List of positive integer factors of 9245 that divides 9245 without a remainder.
1, 5, 43, 215, 1849, 9245
Least Common Multiple of 9239 and 9245 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9239 and 9245, than apply into the LCM equation.
GCF(9239,9245) = 1
LCM(9239,9245) = ( 9239 × 9245) / 1
LCM(9239,9245) = 85414555 / 1
LCM(9239,9245) = 85414555
Properties of LCM 9239 and 9245
(i) The LCM of 9245 and 9239 is associative
LCM of 9239 and 9245 = LCM of 9245 and 9239
Related Least Common Multiples of 9239
Related Least Common Multiples of 9245
Frequently Asked Questions on LCM of 9239 and 9245
1. What is the LCM of 9239 and 9245?
Answer: LCM of 9239 and 9245 is 85414555.
2. What are the Factors of 9239?
Answer: Factors of 9239 are 1, 9239. There are 2 integers that are factors of 9239. The greatest factor of 9239 is 9239.
3. 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.
4. How to Find the LCM of 9239 and 9245?
Answer:
Least Common Multiple of 9239 and 9245 = 85414555
Step 1: Find the prime factorization of 9239
9239 = 9239
Step 2: Find the prime factorization of 9245
9245 = 5 x 43 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 85414555 = 5 x 43 x 43 x 9239
Step 4: Therefore, the least common multiple of 9239 and 9245 is 85414555.