Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4135 and 4143 the smallest integer that is 17131305 that is divisible by both numbers.
Least Common Multiple (LCM) of 4135 and 4143 is 17131305.
LCM(4135,4143) = 17131305
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4135 and 4143. First we will calculate the prime factors of 4135 and 4143.
Prime Factorization of 4135
5 | 4135 |
827 | 827 |
1 |
Prime factors of 4135 are 5,827. Prime factorization of 4135 in exponential form is:
4135 = 51×8271
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4135 and 4143.
LCM(4135,4143) = 31×51×8271×13811
LCM(4135,4143) = 17131305
Factors of 4135
List of positive integer factors of 4135 that divides 4135 without a remainder.
1, 5, 827, 4135
Factors of 4143
List of positive integer factors of 4143 that divides 4143 without a remainder.
1, 3, 1381, 4143
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4135 and 4143, than apply into the LCM equation.
GCF(4135,4143) = 1
LCM(4135,4143) = ( 4135 × 4143) / 1
LCM(4135,4143) = 17131305 / 1
LCM(4135,4143) = 17131305
(i) The LCM of 4143 and 4135 is associative
LCM of 4135 and 4143 = LCM of 4143 and 4135
1. What is the LCM of 4135 and 4143?
Answer: LCM of 4135 and 4143 is 17131305.
2. What are the Factors of 4135?
Answer: Factors of 4135 are 1, 5, 827, 4135. There are 4 integers that are factors of 4135. The greatest factor of 4135 is 4135.
3. 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.
4. How to Find the LCM of 4135 and 4143?
Answer:
Least Common Multiple of 4135 and 4143 = 17131305
Step 1: Find the prime factorization of 4135
4135 = 5 x 827
Step 2: Find the prime factorization of 4143
4143 = 3 x 1381
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17131305 = 3 x 5 x 827 x 1381
Step 4: Therefore, the least common multiple of 4135 and 4143 is 17131305.