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 9147 the smallest integer that is 27870909 that is divisible by both numbers.
Least Common Multiple (LCM) of 9141 and 9147 is 27870909.
LCM(9141,9147) = 27870909
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 9147. First we will calculate the prime factors of 9141 and 9147.
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 9147
3 | 9147 |
3049 | 3049 |
1 |
Prime factors of 9147 are 3,3049. Prime factorization of 9147 in exponential form is:
9147 = 31×30491
Now multiplying the highest exponent prime factors to calculate the LCM of 9141 and 9147.
LCM(9141,9147) = 31×111×2771×30491
LCM(9141,9147) = 27870909
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 9147
List of positive integer factors of 9147 that divides 9147 without a remainder.
1, 3, 3049, 9147
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9141 and 9147, than apply into the LCM equation.
GCF(9141,9147) = 3
LCM(9141,9147) = ( 9141 × 9147) / 3
LCM(9141,9147) = 83612727 / 3
LCM(9141,9147) = 27870909
(i) The LCM of 9147 and 9141 is associative
LCM of 9141 and 9147 = LCM of 9147 and 9141
1. What is the LCM of 9141 and 9147?
Answer: LCM of 9141 and 9147 is 27870909.
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 9147?
Answer: Factors of 9147 are 1, 3, 3049, 9147. There are 4 integers that are factors of 9147. The greatest factor of 9147 is 9147.
4. How to Find the LCM of 9141 and 9147?
Answer:
Least Common Multiple of 9141 and 9147 = 27870909
Step 1: Find the prime factorization of 9141
9141 = 3 x 11 x 277
Step 2: Find the prime factorization of 9147
9147 = 3 x 3049
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27870909 = 3 x 11 x 277 x 3049
Step 4: Therefore, the least common multiple of 9141 and 9147 is 27870909.