Least Common Multiple of 9146 and 9151
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9146 and 9151 the smallest integer that is 83695046 that is divisible by both numbers.
Least Common Multiple (LCM) of 9146 and 9151 is 83695046.
LCM(9146,9151) = 83695046
LCM of 9146 and 9151
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9146 and 9151 by Prime method
- Least Common Multiple of 9146 and 9151 with GCF Formula
LCM of 9146 and 9151 is 83695046
Least common multiple can be found by multiplying the highest exponent prime factors of 9146 and 9151. First we will calculate the prime factors of 9146 and 9151.
Prime Factorization of 9146
| 2 | 9146 |
| 17 | 4573 |
| 269 | 269 |
| 1 |
Prime factors of 9146 are 2, 17,269. Prime factorization of 9146 in exponential form is:
9146 = 21×171×2691
Prime Factorization of 9151
| 9151 | 9151 |
| 1 |
Prime factors of 9151 are 9151. Prime factorization of 9151 in exponential form is:
9151 = 91511
Now multiplying the highest exponent prime factors to calculate the LCM of 9146 and 9151.
LCM(9146,9151) = 21×171×2691×91511
LCM(9146,9151) = 83695046
Factors of 9146
List of positive integer factors of 9146 that divides 9146 without a remainder.
1, 2, 17, 34, 269, 538, 4573, 9146
Factors of 9151
List of positive integer factors of 9151 that divides 9151 without a remainder.
1, 9151
Least Common Multiple of 9146 and 9151 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9146 and 9151, than apply into the LCM equation.
GCF(9146,9151) = 1
LCM(9146,9151) = ( 9146 × 9151) / 1
LCM(9146,9151) = 83695046 / 1
LCM(9146,9151) = 83695046
Properties of LCM 9146 and 9151
(i) The LCM of 9151 and 9146 is associative
LCM of 9146 and 9151 = LCM of 9151 and 9146
Related Least Common Multiples of 9146
Related Least Common Multiples of 9151
Frequently Asked Questions on LCM of 9146 and 9151
1. What is the LCM of 9146 and 9151?
Answer: LCM of 9146 and 9151 is 83695046.
2. What are the Factors of 9146?
Answer: Factors of 9146 are 1, 2, 17, 34, 269, 538, 4573, 9146. There are 8 integers that are factors of 9146. The greatest factor of 9146 is 9146.
3. What are the Factors of 9151?
Answer: Factors of 9151 are 1, 9151. There are 2 integers that are factors of 9151. The greatest factor of 9151 is 9151.
4. How to Find the LCM of 9146 and 9151?
Answer:
Least Common Multiple of 9146 and 9151 = 83695046
Step 1: Find the prime factorization of 9146
9146 = 2 x 17 x 269
Step 2: Find the prime factorization of 9151
9151 = 9151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83695046 = 2 x 17 x 269 x 9151
Step 4: Therefore, the least common multiple of 9146 and 9151 is 83695046.