Least Common Multiple of 3131 and 3135
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3131 and 3135 the smallest integer that is 9815685 that is divisible by both numbers.
Least Common Multiple (LCM) of 3131 and 3135 is 9815685.
LCM(3131,3135) = 9815685
LCM of 3131 and 3135
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3131 and 3135 by Prime method
- Least Common Multiple of 3131 and 3135 with GCF Formula
LCM of 3131 and 3135 is 9815685
Least common multiple can be found by multiplying the highest exponent prime factors of 3131 and 3135. First we will calculate the prime factors of 3131 and 3135.
Prime Factorization of 3131
| 31 | 3131 |
| 101 | 101 |
| 1 |
Prime factors of 3131 are 31,101. Prime factorization of 3131 in exponential form is:
3131 = 311×1011
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3131 and 3135.
LCM(3131,3135) = 31×51×111×191×311×1011
LCM(3131,3135) = 9815685
Factors of 3131
List of positive integer factors of 3131 that divides 3131 without a remainder.
1, 31, 101, 3131
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
Least Common Multiple of 3131 and 3135 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3131 and 3135, than apply into the LCM equation.
GCF(3131,3135) = 1
LCM(3131,3135) = ( 3131 × 3135) / 1
LCM(3131,3135) = 9815685 / 1
LCM(3131,3135) = 9815685
Properties of LCM 3131 and 3135
(i) The LCM of 3135 and 3131 is associative
LCM of 3131 and 3135 = LCM of 3135 and 3131
Related Least Common Multiples of 3131
Related Least Common Multiples of 3135
Frequently Asked Questions on LCM of 3131 and 3135
1. What is the LCM of 3131 and 3135?
Answer: LCM of 3131 and 3135 is 9815685.
2. What are the Factors of 3131?
Answer: Factors of 3131 are 1, 31, 101, 3131. There are 4 integers that are factors of 3131. The greatest factor of 3131 is 3131.
3. 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.
4. How to Find the LCM of 3131 and 3135?
Answer:
Least Common Multiple of 3131 and 3135 = 9815685
Step 1: Find the prime factorization of 3131
3131 = 31 x 101
Step 2: Find the prime factorization of 3135
3135 = 3 x 5 x 11 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9815685 = 3 x 5 x 11 x 19 x 31 x 101
Step 4: Therefore, the least common multiple of 3131 and 3135 is 9815685.