Least Common Multiple of 3135 and 3143
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3135 and 3143 the smallest integer that is 9853305 that is divisible by both numbers.
Least Common Multiple (LCM) of 3135 and 3143 is 9853305.
LCM(3135,3143) = 9853305
LCM of 3135 and 3143
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3135 and 3143 by Prime method
- Least Common Multiple of 3135 and 3143 with GCF Formula
LCM of 3135 and 3143 is 9853305
Least common multiple can be found by multiplying the highest exponent prime factors of 3135 and 3143. First we will calculate the prime factors of 3135 and 3143.
Prime Factorization of 3135
| 3 | 3135 |
| 5 | 1045 |
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 3135 are 3, 5, 11,19. Prime factorization of 3135 in exponential form is:
3135 = 31×51×111×191
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3135 and 3143.
LCM(3135,3143) = 31×51×71×111×191×4491
LCM(3135,3143) = 9853305
Factors of 3135
List of positive integer factors of 3135 that divides 3135 without a remainder.
1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045, 3135
Factors of 3143
List of positive integer factors of 3143 that divides 3143 without a remainder.
1, 7, 449, 3143
Least Common Multiple of 3135 and 3143 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3135 and 3143, than apply into the LCM equation.
GCF(3135,3143) = 1
LCM(3135,3143) = ( 3135 × 3143) / 1
LCM(3135,3143) = 9853305 / 1
LCM(3135,3143) = 9853305
Properties of LCM 3135 and 3143
(i) The LCM of 3143 and 3135 is associative
LCM of 3135 and 3143 = LCM of 3143 and 3135
Related Least Common Multiples of 3135
Related Least Common Multiples of 3143
Frequently Asked Questions on LCM of 3135 and 3143
1. What is the LCM of 3135 and 3143?
Answer: LCM of 3135 and 3143 is 9853305.
2. What are the Factors of 3135?
Answer: Factors of 3135 are 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045, 3135. There are 16 integers that are factors of 3135. The greatest factor of 3135 is 3135.
3. 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.
4. How to Find the LCM of 3135 and 3143?
Answer:
Least Common Multiple of 3135 and 3143 = 9853305
Step 1: Find the prime factorization of 3135
3135 = 3 x 5 x 11 x 19
Step 2: Find the prime factorization of 3143
3143 = 7 x 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9853305 = 3 x 5 x 7 x 11 x 19 x 449
Step 4: Therefore, the least common multiple of 3135 and 3143 is 9853305.