Least Common Multiple of 3143 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 3143 and 3151 the smallest integer that is 9903593 that is divisible by both numbers.
Least Common Multiple (LCM) of 3143 and 3151 is 9903593.
LCM(3143,3151) = 9903593
LCM of 3143 and 3151
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3143 and 3151 by Prime method
- Least Common Multiple of 3143 and 3151 with GCF Formula
LCM of 3143 and 3151 is 9903593
Least common multiple can be found by multiplying the highest exponent prime factors of 3143 and 3151. First we will calculate the prime factors of 3143 and 3151.
Prime Factorization of 3143
| 7 | 3143 |
| 449 | 449 |
| 1 |
Prime factors of 3143 are 7,449. Prime factorization of 3143 in exponential form is:
3143 = 71×4491
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 3143 and 3151.
LCM(3143,3151) = 71×231×1371×4491
LCM(3143,3151) = 9903593
Factors of 3143
List of positive integer factors of 3143 that divides 3143 without a remainder.
1, 7, 449, 3143
Factors of 3151
List of positive integer factors of 3151 that divides 3151 without a remainder.
1, 23, 137, 3151
Least Common Multiple of 3143 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 3143 and 3151, than apply into the LCM equation.
GCF(3143,3151) = 1
LCM(3143,3151) = ( 3143 × 3151) / 1
LCM(3143,3151) = 9903593 / 1
LCM(3143,3151) = 9903593
Properties of LCM 3143 and 3151
(i) The LCM of 3151 and 3143 is associative
LCM of 3143 and 3151 = LCM of 3151 and 3143
Related Least Common Multiples of 3143
Related Least Common Multiples of 3151
Frequently Asked Questions on LCM of 3143 and 3151
1. What is the LCM of 3143 and 3151?
Answer: LCM of 3143 and 3151 is 9903593.
2. What are the Factors of 3143?
Answer: Factors of 3143 are 1, 7, 449, 3143. There are 4 integers that are factors of 3143. The greatest factor of 3143 is 3143.
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 3143 and 3151?
Answer:
Least Common Multiple of 3143 and 3151 = 9903593
Step 1: Find the prime factorization of 3143
3143 = 7 x 449
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 = 9903593 = 7 x 23 x 137 x 449
Step 4: Therefore, the least common multiple of 3143 and 3151 is 9903593.