Least Common Multiple of 3145 and 3151
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3145 and 3151 the smallest integer that is 9909895 that is divisible by both numbers.
Least Common Multiple (LCM) of 3145 and 3151 is 9909895.
LCM(3145,3151) = 9909895
LCM of 3145 and 3151
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3145 and 3151 by Prime method
- Least Common Multiple of 3145 and 3151 with GCF Formula
LCM of 3145 and 3151 is 9909895
Least common multiple can be found by multiplying the highest exponent prime factors of 3145 and 3151. First we will calculate the prime factors of 3145 and 3151.
Prime Factorization of 3145
| 5 | 3145 |
| 17 | 629 |
| 37 | 37 |
| 1 |
Prime factors of 3145 are 5, 17,37. Prime factorization of 3145 in exponential form is:
3145 = 51×171×371
Prime Factorization of 3151
| 23 | 3151 |
| 137 | 137 |
| 1 |
Prime factors of 3151 are 23,137. Prime factorization of 3151 in exponential form is:
3151 = 231×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 3145 and 3151.
LCM(3145,3151) = 51×171×231×371×1371
LCM(3145,3151) = 9909895
Factors of 3145
List of positive integer factors of 3145 that divides 3145 without a remainder.
1, 5, 17, 37, 85, 185, 629, 3145
Factors of 3151
List of positive integer factors of 3151 that divides 3151 without a remainder.
1, 23, 137, 3151
Least Common Multiple of 3145 and 3151 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3145 and 3151, than apply into the LCM equation.
GCF(3145,3151) = 1
LCM(3145,3151) = ( 3145 × 3151) / 1
LCM(3145,3151) = 9909895 / 1
LCM(3145,3151) = 9909895
Properties of LCM 3145 and 3151
(i) The LCM of 3151 and 3145 is associative
LCM of 3145 and 3151 = LCM of 3151 and 3145
Related Least Common Multiples of 3145
Related Least Common Multiples of 3151
Frequently Asked Questions on LCM of 3145 and 3151
1. What is the LCM of 3145 and 3151?
Answer: LCM of 3145 and 3151 is 9909895.
2. What are the Factors of 3145?
Answer: Factors of 3145 are 1, 5, 17, 37, 85, 185, 629, 3145. There are 8 integers that are factors of 3145. The greatest factor of 3145 is 3145.
3. What are the Factors of 3151?
Answer: Factors of 3151 are 1, 23, 137, 3151. There are 4 integers that are factors of 3151. The greatest factor of 3151 is 3151.
4. How to Find the LCM of 3145 and 3151?
Answer:
Least Common Multiple of 3145 and 3151 = 9909895
Step 1: Find the prime factorization of 3145
3145 = 5 x 17 x 37
Step 2: Find the prime factorization of 3151
3151 = 23 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9909895 = 5 x 17 x 23 x 37 x 137
Step 4: Therefore, the least common multiple of 3145 and 3151 is 9909895.