Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9164 and 9170 the smallest integer that is 42016940 that is divisible by both numbers.
Least Common Multiple (LCM) of 9164 and 9170 is 42016940.
LCM(9164,9170) = 42016940
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 9164 and 9170. First we will calculate the prime factors of 9164 and 9170.
Prime Factorization of 9164
2 | 9164 |
2 | 4582 |
29 | 2291 |
79 | 79 |
1 |
Prime factors of 9164 are 2, 29,79. Prime factorization of 9164 in exponential form is:
9164 = 22×291×791
Prime Factorization of 9170
2 | 9170 |
5 | 4585 |
7 | 917 |
131 | 131 |
1 |
Prime factors of 9170 are 2, 5, 7,131. Prime factorization of 9170 in exponential form is:
9170 = 21×51×71×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 9164 and 9170.
LCM(9164,9170) = 22×51×71×291×791×1311
LCM(9164,9170) = 42016940
Factors of 9164
List of positive integer factors of 9164 that divides 9164 without a remainder.
1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164
Factors of 9170
List of positive integer factors of 9170 that divides 9170 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9164 and 9170, than apply into the LCM equation.
GCF(9164,9170) = 2
LCM(9164,9170) = ( 9164 × 9170) / 2
LCM(9164,9170) = 84033880 / 2
LCM(9164,9170) = 42016940
(i) The LCM of 9170 and 9164 is associative
LCM of 9164 and 9170 = LCM of 9170 and 9164
1. What is the LCM of 9164 and 9170?
Answer: LCM of 9164 and 9170 is 42016940.
2. What are the Factors of 9164?
Answer: Factors of 9164 are 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164. There are 12 integers that are factors of 9164. The greatest factor of 9164 is 9164.
3. What are the Factors of 9170?
Answer: Factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170. There are 16 integers that are factors of 9170. The greatest factor of 9170 is 9170.
4. How to Find the LCM of 9164 and 9170?
Answer:
Least Common Multiple of 9164 and 9170 = 42016940
Step 1: Find the prime factorization of 9164
9164 = 2 x 2 x 29 x 79
Step 2: Find the prime factorization of 9170
9170 = 2 x 5 x 7 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42016940 = 2 x 2 x 5 x 7 x 29 x 79 x 131
Step 4: Therefore, the least common multiple of 9164 and 9170 is 42016940.