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 9148 the smallest integer that is 83621868 that is divisible by both numbers.
Least Common Multiple (LCM) of 9141 and 9148 is 83621868.
LCM(9141,9148) = 83621868
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 9148. First we will calculate the prime factors of 9141 and 9148.
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 9148
2 | 9148 |
2 | 4574 |
2287 | 2287 |
1 |
Prime factors of 9148 are 2,2287. Prime factorization of 9148 in exponential form is:
9148 = 22×22871
Now multiplying the highest exponent prime factors to calculate the LCM of 9141 and 9148.
LCM(9141,9148) = 22×31×111×2771×22871
LCM(9141,9148) = 83621868
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 9148
List of positive integer factors of 9148 that divides 9148 without a remainder.
1, 2, 4, 2287, 4574, 9148
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9141 and 9148, than apply into the LCM equation.
GCF(9141,9148) = 1
LCM(9141,9148) = ( 9141 × 9148) / 1
LCM(9141,9148) = 83621868 / 1
LCM(9141,9148) = 83621868
(i) The LCM of 9148 and 9141 is associative
LCM of 9141 and 9148 = LCM of 9148 and 9141
1. What is the LCM of 9141 and 9148?
Answer: LCM of 9141 and 9148 is 83621868.
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 9148?
Answer: Factors of 9148 are 1, 2, 4, 2287, 4574, 9148. There are 6 integers that are factors of 9148. The greatest factor of 9148 is 9148.
4. How to Find the LCM of 9141 and 9148?
Answer:
Least Common Multiple of 9141 and 9148 = 83621868
Step 1: Find the prime factorization of 9141
9141 = 3 x 11 x 277
Step 2: Find the prime factorization of 9148
9148 = 2 x 2 x 2287
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83621868 = 2 x 2 x 3 x 11 x 277 x 2287
Step 4: Therefore, the least common multiple of 9141 and 9148 is 83621868.