Least Common Multiple of 9245 and 9251
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 9251 the smallest integer that is 85525495 that is divisible by both numbers.
Least Common Multiple (LCM) of 9245 and 9251 is 85525495.
LCM(9245,9251) = 85525495
LCM of 9245 and 9251
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9245 and 9251 by Prime method
- Least Common Multiple of 9245 and 9251 with GCF Formula
LCM of 9245 and 9251 is 85525495
Least common multiple can be found by multiplying the highest exponent prime factors of 9245 and 9251. First we will calculate the prime factors of 9245 and 9251.
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 9251
| 11 | 9251 |
| 29 | 841 |
| 29 | 29 |
| 1 |
Prime factors of 9251 are 11,29. Prime factorization of 9251 in exponential form is:
9251 = 111×292
Now multiplying the highest exponent prime factors to calculate the LCM of 9245 and 9251.
LCM(9245,9251) = 51×111×292×432
LCM(9245,9251) = 85525495
Factors of 9245
List of positive integer factors of 9245 that divides 9245 without a remainder.
1, 5, 43, 215, 1849, 9245
Factors of 9251
List of positive integer factors of 9251 that divides 9251 without a remainder.
1, 11, 29, 319, 841, 9251
Least Common Multiple of 9245 and 9251 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 9251, than apply into the LCM equation.
GCF(9245,9251) = 1
LCM(9245,9251) = ( 9245 × 9251) / 1
LCM(9245,9251) = 85525495 / 1
LCM(9245,9251) = 85525495
Properties of LCM 9245 and 9251
(i) The LCM of 9251 and 9245 is associative
LCM of 9245 and 9251 = LCM of 9251 and 9245
Related Least Common Multiples of 9245
Related Least Common Multiples of 9251
Frequently Asked Questions on LCM of 9245 and 9251
1. What is the LCM of 9245 and 9251?
Answer: LCM of 9245 and 9251 is 85525495.
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 9251?
Answer: Factors of 9251 are 1, 11, 29, 319, 841, 9251. There are 6 integers that are factors of 9251. The greatest factor of 9251 is 9251.
4. How to Find the LCM of 9245 and 9251?
Answer:
Least Common Multiple of 9245 and 9251 = 85525495
Step 1: Find the prime factorization of 9245
9245 = 5 x 43 x 43
Step 2: Find the prime factorization of 9251
9251 = 11 x 29 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 85525495 = 5 x 11 x 29 x 29 x 43 x 43
Step 4: Therefore, the least common multiple of 9245 and 9251 is 85525495.