Least Common Multiple of 4143 and 4151
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4143 and 4151 the smallest integer that is 17197593 that is divisible by both numbers.
Least Common Multiple (LCM) of 4143 and 4151 is 17197593.
LCM(4143,4151) = 17197593
LCM of 4143 and 4151
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4143 and 4151 by Prime method
- Least Common Multiple of 4143 and 4151 with GCF Formula
LCM of 4143 and 4151 is 17197593
Least common multiple can be found by multiplying the highest exponent prime factors of 4143 and 4151. First we will calculate the prime factors of 4143 and 4151.
Prime Factorization of 4143
| 3 | 4143 |
| 1381 | 1381 |
| 1 |
Prime factors of 4143 are 3,1381. Prime factorization of 4143 in exponential form is:
4143 = 31×13811
Prime Factorization of 4151
| 7 | 4151 |
| 593 | 593 |
| 1 |
Prime factors of 4151 are 7,593. Prime factorization of 4151 in exponential form is:
4151 = 71×5931
Now multiplying the highest exponent prime factors to calculate the LCM of 4143 and 4151.
LCM(4143,4151) = 31×71×5931×13811
LCM(4143,4151) = 17197593
Factors of 4143
List of positive integer factors of 4143 that divides 4143 without a remainder.
1, 3, 1381, 4143
Factors of 4151
List of positive integer factors of 4151 that divides 4151 without a remainder.
1, 7, 593, 4151
Least Common Multiple of 4143 and 4151 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4143 and 4151, than apply into the LCM equation.
GCF(4143,4151) = 1
LCM(4143,4151) = ( 4143 × 4151) / 1
LCM(4143,4151) = 17197593 / 1
LCM(4143,4151) = 17197593
Properties of LCM 4143 and 4151
(i) The LCM of 4151 and 4143 is associative
LCM of 4143 and 4151 = LCM of 4151 and 4143
Related Least Common Multiples of 4143
Related Least Common Multiples of 4151
Frequently Asked Questions on LCM of 4143 and 4151
1. What is the LCM of 4143 and 4151?
Answer: LCM of 4143 and 4151 is 17197593.
2. What are the Factors of 4143?
Answer: Factors of 4143 are 1, 3, 1381, 4143. There are 4 integers that are factors of 4143. The greatest factor of 4143 is 4143.
3. What are the Factors of 4151?
Answer: Factors of 4151 are 1, 7, 593, 4151. There are 4 integers that are factors of 4151. The greatest factor of 4151 is 4151.
4. How to Find the LCM of 4143 and 4151?
Answer:
Least Common Multiple of 4143 and 4151 = 17197593
Step 1: Find the prime factorization of 4143
4143 = 3 x 1381
Step 2: Find the prime factorization of 4151
4151 = 7 x 593
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17197593 = 3 x 7 x 593 x 1381
Step 4: Therefore, the least common multiple of 4143 and 4151 is 17197593.