Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9137 and 9145 the smallest integer that is 83557865 that is divisible by both numbers.
Least Common Multiple (LCM) of 9137 and 9145 is 83557865.
LCM(9137,9145) = 83557865
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 9137 and 9145. First we will calculate the prime factors of 9137 and 9145.
Prime Factorization of 9137
9137 | 9137 |
1 |
Prime factors of 9137 are 9137. Prime factorization of 9137 in exponential form is:
9137 = 91371
Prime Factorization of 9145
5 | 9145 |
31 | 1829 |
59 | 59 |
1 |
Prime factors of 9145 are 5, 31,59. Prime factorization of 9145 in exponential form is:
9145 = 51×311×591
Now multiplying the highest exponent prime factors to calculate the LCM of 9137 and 9145.
LCM(9137,9145) = 51×311×591×91371
LCM(9137,9145) = 83557865
Factors of 9137
List of positive integer factors of 9137 that divides 9137 without a remainder.
1, 9137
Factors of 9145
List of positive integer factors of 9145 that divides 9145 without a remainder.
1, 5, 31, 59, 155, 295, 1829, 9145
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9137 and 9145, than apply into the LCM equation.
GCF(9137,9145) = 1
LCM(9137,9145) = ( 9137 × 9145) / 1
LCM(9137,9145) = 83557865 / 1
LCM(9137,9145) = 83557865
(i) The LCM of 9145 and 9137 is associative
LCM of 9137 and 9145 = LCM of 9145 and 9137
1. What is the LCM of 9137 and 9145?
Answer: LCM of 9137 and 9145 is 83557865.
2. What are the Factors of 9137?
Answer: Factors of 9137 are 1, 9137. There are 2 integers that are factors of 9137. The greatest factor of 9137 is 9137.
3. What are the Factors of 9145?
Answer: Factors of 9145 are 1, 5, 31, 59, 155, 295, 1829, 9145. There are 8 integers that are factors of 9145. The greatest factor of 9145 is 9145.
4. How to Find the LCM of 9137 and 9145?
Answer:
Least Common Multiple of 9137 and 9145 = 83557865
Step 1: Find the prime factorization of 9137
9137 = 9137
Step 2: Find the prime factorization of 9145
9145 = 5 x 31 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83557865 = 5 x 31 x 59 x 9137
Step 4: Therefore, the least common multiple of 9137 and 9145 is 83557865.