Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9145 and 9150 the smallest integer that is 16735350 that is divisible by both numbers.
Least Common Multiple (LCM) of 9145 and 9150 is 16735350.
LCM(9145,9150) = 16735350
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 9145 and 9150. First we will calculate the prime factors of 9145 and 9150.
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
Prime Factorization of 9150
2 | 9150 |
3 | 4575 |
5 | 1525 |
5 | 305 |
61 | 61 |
1 |
Prime factors of 9150 are 2, 3, 5,61. Prime factorization of 9150 in exponential form is:
9150 = 21×31×52×611
Now multiplying the highest exponent prime factors to calculate the LCM of 9145 and 9150.
LCM(9145,9150) = 21×31×52×311×591×611
LCM(9145,9150) = 16735350
Factors of 9145
List of positive integer factors of 9145 that divides 9145 without a remainder.
1, 5, 31, 59, 155, 295, 1829, 9145
Factors of 9150
List of positive integer factors of 9150 that divides 9150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 61, 75, 122, 150, 183, 305, 366, 610, 915, 1525, 1830, 3050, 4575, 9150
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9145 and 9150, than apply into the LCM equation.
GCF(9145,9150) = 5
LCM(9145,9150) = ( 9145 × 9150) / 5
LCM(9145,9150) = 83676750 / 5
LCM(9145,9150) = 16735350
(i) The LCM of 9150 and 9145 is associative
LCM of 9145 and 9150 = LCM of 9150 and 9145
1. What is the LCM of 9145 and 9150?
Answer: LCM of 9145 and 9150 is 16735350.
2. 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.
3. What are the Factors of 9150?
Answer: Factors of 9150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 61, 75, 122, 150, 183, 305, 366, 610, 915, 1525, 1830, 3050, 4575, 9150. There are 24 integers that are factors of 9150. The greatest factor of 9150 is 9150.
4. How to Find the LCM of 9145 and 9150?
Answer:
Least Common Multiple of 9145 and 9150 = 16735350
Step 1: Find the prime factorization of 9145
9145 = 5 x 31 x 59
Step 2: Find the prime factorization of 9150
9150 = 2 x 3 x 5 x 5 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16735350 = 2 x 3 x 5 x 5 x 31 x 59 x 61
Step 4: Therefore, the least common multiple of 9145 and 9150 is 16735350.