Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9172 and 9176 the smallest integer that is 21040568 that is divisible by both numbers.
Least Common Multiple (LCM) of 9172 and 9176 is 21040568.
LCM(9172,9176) = 21040568
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 9172 and 9176. First we will calculate the prime factors of 9172 and 9176.
Prime Factorization of 9172
2 | 9172 |
2 | 4586 |
2293 | 2293 |
1 |
Prime factors of 9172 are 2,2293. Prime factorization of 9172 in exponential form is:
9172 = 22×22931
Prime Factorization of 9176
2 | 9176 |
2 | 4588 |
2 | 2294 |
31 | 1147 |
37 | 37 |
1 |
Prime factors of 9176 are 2, 31,37. Prime factorization of 9176 in exponential form is:
9176 = 23×311×371
Now multiplying the highest exponent prime factors to calculate the LCM of 9172 and 9176.
LCM(9172,9176) = 23×311×371×22931
LCM(9172,9176) = 21040568
Factors of 9172
List of positive integer factors of 9172 that divides 9172 without a remainder.
1, 2, 4, 2293, 4586, 9172
Factors of 9176
List of positive integer factors of 9176 that divides 9176 without a remainder.
1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9172 and 9176, than apply into the LCM equation.
GCF(9172,9176) = 4
LCM(9172,9176) = ( 9172 × 9176) / 4
LCM(9172,9176) = 84162272 / 4
LCM(9172,9176) = 21040568
(i) The LCM of 9176 and 9172 is associative
LCM of 9172 and 9176 = LCM of 9176 and 9172
1. What is the LCM of 9172 and 9176?
Answer: LCM of 9172 and 9176 is 21040568.
2. What are the Factors of 9172?
Answer: Factors of 9172 are 1, 2, 4, 2293, 4586, 9172. There are 6 integers that are factors of 9172. The greatest factor of 9172 is 9172.
3. What are the Factors of 9176?
Answer: Factors of 9176 are 1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176. There are 16 integers that are factors of 9176. The greatest factor of 9176 is 9176.
4. How to Find the LCM of 9172 and 9176?
Answer:
Least Common Multiple of 9172 and 9176 = 21040568
Step 1: Find the prime factorization of 9172
9172 = 2 x 2 x 2293
Step 2: Find the prime factorization of 9176
9176 = 2 x 2 x 2 x 31 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21040568 = 2 x 2 x 2 x 31 x 37 x 2293
Step 4: Therefore, the least common multiple of 9172 and 9176 is 21040568.