Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9169 and 9173 the smallest integer that is 84107237 that is divisible by both numbers.
Least Common Multiple (LCM) of 9169 and 9173 is 84107237.
LCM(9169,9173) = 84107237
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 9169 and 9173. First we will calculate the prime factors of 9169 and 9173.
Prime Factorization of 9169
53 | 9169 |
173 | 173 |
1 |
Prime factors of 9169 are 53,173. Prime factorization of 9169 in exponential form is:
9169 = 531×1731
Prime Factorization of 9173
9173 | 9173 |
1 |
Prime factors of 9173 are 9173. Prime factorization of 9173 in exponential form is:
9173 = 91731
Now multiplying the highest exponent prime factors to calculate the LCM of 9169 and 9173.
LCM(9169,9173) = 531×1731×91731
LCM(9169,9173) = 84107237
Factors of 9169
List of positive integer factors of 9169 that divides 9169 without a remainder.
1, 53, 173, 9169
Factors of 9173
List of positive integer factors of 9173 that divides 9173 without a remainder.
1, 9173
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9169 and 9173, than apply into the LCM equation.
GCF(9169,9173) = 1
LCM(9169,9173) = ( 9169 × 9173) / 1
LCM(9169,9173) = 84107237 / 1
LCM(9169,9173) = 84107237
(i) The LCM of 9173 and 9169 is associative
LCM of 9169 and 9173 = LCM of 9173 and 9169
1. What is the LCM of 9169 and 9173?
Answer: LCM of 9169 and 9173 is 84107237.
2. What are the Factors of 9169?
Answer: Factors of 9169 are 1, 53, 173, 9169. There are 4 integers that are factors of 9169. The greatest factor of 9169 is 9169.
3. What are the Factors of 9173?
Answer: Factors of 9173 are 1, 9173. There are 2 integers that are factors of 9173. The greatest factor of 9173 is 9173.
4. How to Find the LCM of 9169 and 9173?
Answer:
Least Common Multiple of 9169 and 9173 = 84107237
Step 1: Find the prime factorization of 9169
9169 = 53 x 173
Step 2: Find the prime factorization of 9173
9173 = 9173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84107237 = 53 x 173 x 9173
Step 4: Therefore, the least common multiple of 9169 and 9173 is 84107237.