Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9255 and 9261 the smallest integer that is 28570185 that is divisible by both numbers.
Least Common Multiple (LCM) of 9255 and 9261 is 28570185.
LCM(9255,9261) = 28570185
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 9255 and 9261. First we will calculate the prime factors of 9255 and 9261.
Prime Factorization of 9255
3 | 9255 |
5 | 3085 |
617 | 617 |
1 |
Prime factors of 9255 are 3, 5,617. Prime factorization of 9255 in exponential form is:
9255 = 31×51×6171
Prime Factorization of 9261
3 | 9261 |
3 | 3087 |
3 | 1029 |
7 | 343 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 9261 are 3,7. Prime factorization of 9261 in exponential form is:
9261 = 33×73
Now multiplying the highest exponent prime factors to calculate the LCM of 9255 and 9261.
LCM(9255,9261) = 33×51×73×6171
LCM(9255,9261) = 28570185
Factors of 9255
List of positive integer factors of 9255 that divides 9255 without a remainder.
1, 3, 5, 15, 617, 1851, 3085, 9255
Factors of 9261
List of positive integer factors of 9261 that divides 9261 without a remainder.
1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9255 and 9261, than apply into the LCM equation.
GCF(9255,9261) = 3
LCM(9255,9261) = ( 9255 × 9261) / 3
LCM(9255,9261) = 85710555 / 3
LCM(9255,9261) = 28570185
(i) The LCM of 9261 and 9255 is associative
LCM of 9255 and 9261 = LCM of 9261 and 9255
1. What is the LCM of 9255 and 9261?
Answer: LCM of 9255 and 9261 is 28570185.
2. What are the Factors of 9255?
Answer: Factors of 9255 are 1, 3, 5, 15, 617, 1851, 3085, 9255. There are 8 integers that are factors of 9255. The greatest factor of 9255 is 9255.
3. What are the Factors of 9261?
Answer: Factors of 9261 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261. There are 16 integers that are factors of 9261. The greatest factor of 9261 is 9261.
4. How to Find the LCM of 9255 and 9261?
Answer:
Least Common Multiple of 9255 and 9261 = 28570185
Step 1: Find the prime factorization of 9255
9255 = 3 x 5 x 617
Step 2: Find the prime factorization of 9261
9261 = 3 x 3 x 3 x 7 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28570185 = 3 x 3 x 3 x 5 x 7 x 7 x 7 x 617
Step 4: Therefore, the least common multiple of 9255 and 9261 is 28570185.