Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9121 and 9129 the smallest integer that is 83265609 that is divisible by both numbers.
Least Common Multiple (LCM) of 9121 and 9129 is 83265609.
LCM(9121,9129) = 83265609
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 9121 and 9129. First we will calculate the prime factors of 9121 and 9129.
Prime Factorization of 9121
7 | 9121 |
1303 | 1303 |
1 |
Prime factors of 9121 are 7,1303. Prime factorization of 9121 in exponential form is:
9121 = 71×13031
Prime Factorization of 9129
3 | 9129 |
17 | 3043 |
179 | 179 |
1 |
Prime factors of 9129 are 3, 17,179. Prime factorization of 9129 in exponential form is:
9129 = 31×171×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 9121 and 9129.
LCM(9121,9129) = 31×71×171×1791×13031
LCM(9121,9129) = 83265609
Factors of 9121
List of positive integer factors of 9121 that divides 9121 without a remainder.
1, 7, 1303, 9121
Factors of 9129
List of positive integer factors of 9129 that divides 9129 without a remainder.
1, 3, 17, 51, 179, 537, 3043, 9129
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9121 and 9129, than apply into the LCM equation.
GCF(9121,9129) = 1
LCM(9121,9129) = ( 9121 × 9129) / 1
LCM(9121,9129) = 83265609 / 1
LCM(9121,9129) = 83265609
(i) The LCM of 9129 and 9121 is associative
LCM of 9121 and 9129 = LCM of 9129 and 9121
1. What is the LCM of 9121 and 9129?
Answer: LCM of 9121 and 9129 is 83265609.
2. What are the Factors of 9121?
Answer: Factors of 9121 are 1, 7, 1303, 9121. There are 4 integers that are factors of 9121. The greatest factor of 9121 is 9121.
3. What are the Factors of 9129?
Answer: Factors of 9129 are 1, 3, 17, 51, 179, 537, 3043, 9129. There are 8 integers that are factors of 9129. The greatest factor of 9129 is 9129.
4. How to Find the LCM of 9121 and 9129?
Answer:
Least Common Multiple of 9121 and 9129 = 83265609
Step 1: Find the prime factorization of 9121
9121 = 7 x 1303
Step 2: Find the prime factorization of 9129
9129 = 3 x 17 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83265609 = 3 x 7 x 17 x 179 x 1303
Step 4: Therefore, the least common multiple of 9121 and 9129 is 83265609.