Least Common Multiple of 9118 and 9125
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9118 and 9125 the smallest integer that is 83201750 that is divisible by both numbers.
Least Common Multiple (LCM) of 9118 and 9125 is 83201750.
LCM(9118,9125) = 83201750
LCM of 9118 and 9125
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9118 and 9125 by Prime method
- Least Common Multiple of 9118 and 9125 with GCF Formula
LCM of 9118 and 9125 is 83201750
Least common multiple can be found by multiplying the highest exponent prime factors of 9118 and 9125. First we will calculate the prime factors of 9118 and 9125.
Prime Factorization of 9118
| 2 | 9118 |
| 47 | 4559 |
| 97 | 97 |
| 1 |
Prime factors of 9118 are 2, 47,97. Prime factorization of 9118 in exponential form is:
9118 = 21×471×971
Prime Factorization of 9125
| 5 | 9125 |
| 5 | 1825 |
| 5 | 365 |
| 73 | 73 |
| 1 |
Prime factors of 9125 are 5,73. Prime factorization of 9125 in exponential form is:
9125 = 53×731
Now multiplying the highest exponent prime factors to calculate the LCM of 9118 and 9125.
LCM(9118,9125) = 21×53×471×731×971
LCM(9118,9125) = 83201750
Factors of 9118
List of positive integer factors of 9118 that divides 9118 without a remainder.
1, 2, 47, 94, 97, 194, 4559, 9118
Factors of 9125
List of positive integer factors of 9125 that divides 9125 without a remainder.
1, 5, 25, 73, 125, 365, 1825, 9125
Least Common Multiple of 9118 and 9125 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9118 and 9125, than apply into the LCM equation.
GCF(9118,9125) = 1
LCM(9118,9125) = ( 9118 × 9125) / 1
LCM(9118,9125) = 83201750 / 1
LCM(9118,9125) = 83201750
Properties of LCM 9118 and 9125
(i) The LCM of 9125 and 9118 is associative
LCM of 9118 and 9125 = LCM of 9125 and 9118
Related Least Common Multiples of 9118
Related Least Common Multiples of 9125
Frequently Asked Questions on LCM of 9118 and 9125
1. What is the LCM of 9118 and 9125?
Answer: LCM of 9118 and 9125 is 83201750.
2. What are the Factors of 9118?
Answer: Factors of 9118 are 1, 2, 47, 94, 97, 194, 4559, 9118. There are 8 integers that are factors of 9118. The greatest factor of 9118 is 9118.
3. What are the Factors of 9125?
Answer: Factors of 9125 are 1, 5, 25, 73, 125, 365, 1825, 9125. There are 8 integers that are factors of 9125. The greatest factor of 9125 is 9125.
4. How to Find the LCM of 9118 and 9125?
Answer:
Least Common Multiple of 9118 and 9125 = 83201750
Step 1: Find the prime factorization of 9118
9118 = 2 x 47 x 97
Step 2: Find the prime factorization of 9125
9125 = 5 x 5 x 5 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83201750 = 2 x 5 x 5 x 5 x 47 x 73 x 97
Step 4: Therefore, the least common multiple of 9118 and 9125 is 83201750.