Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9141 and 9146 the smallest integer that is 83603586 that is divisible by both numbers.
Least Common Multiple (LCM) of 9141 and 9146 is 83603586.
LCM(9141,9146) = 83603586
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 9141 and 9146. First we will calculate the prime factors of 9141 and 9146.
Prime Factorization of 9141
3 | 9141 |
11 | 3047 |
277 | 277 |
1 |
Prime factors of 9141 are 3, 11,277. Prime factorization of 9141 in exponential form is:
9141 = 31×111×2771
Prime Factorization of 9146
2 | 9146 |
17 | 4573 |
269 | 269 |
1 |
Prime factors of 9146 are 2, 17,269. Prime factorization of 9146 in exponential form is:
9146 = 21×171×2691
Now multiplying the highest exponent prime factors to calculate the LCM of 9141 and 9146.
LCM(9141,9146) = 21×31×111×171×2691×2771
LCM(9141,9146) = 83603586
Factors of 9141
List of positive integer factors of 9141 that divides 9141 without a remainder.
1, 3, 11, 33, 277, 831, 3047, 9141
Factors of 9146
List of positive integer factors of 9146 that divides 9146 without a remainder.
1, 2, 17, 34, 269, 538, 4573, 9146
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9141 and 9146, than apply into the LCM equation.
GCF(9141,9146) = 1
LCM(9141,9146) = ( 9141 × 9146) / 1
LCM(9141,9146) = 83603586 / 1
LCM(9141,9146) = 83603586
(i) The LCM of 9146 and 9141 is associative
LCM of 9141 and 9146 = LCM of 9146 and 9141
1. What is the LCM of 9141 and 9146?
Answer: LCM of 9141 and 9146 is 83603586.
2. What are the Factors of 9141?
Answer: Factors of 9141 are 1, 3, 11, 33, 277, 831, 3047, 9141. There are 8 integers that are factors of 9141. The greatest factor of 9141 is 9141.
3. What are the Factors of 9146?
Answer: Factors of 9146 are 1, 2, 17, 34, 269, 538, 4573, 9146. There are 8 integers that are factors of 9146. The greatest factor of 9146 is 9146.
4. How to Find the LCM of 9141 and 9146?
Answer:
Least Common Multiple of 9141 and 9146 = 83603586
Step 1: Find the prime factorization of 9141
9141 = 3 x 11 x 277
Step 2: Find the prime factorization of 9146
9146 = 2 x 17 x 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83603586 = 2 x 3 x 11 x 17 x 269 x 277
Step 4: Therefore, the least common multiple of 9141 and 9146 is 83603586.