Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3127 and 3135 the smallest integer that is 9803145 that is divisible by both numbers.
Least Common Multiple (LCM) of 3127 and 3135 is 9803145.
LCM(3127,3135) = 9803145
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 3127 and 3135. First we will calculate the prime factors of 3127 and 3135.
Prime Factorization of 3127
53 | 3127 |
59 | 59 |
1 |
Prime factors of 3127 are 53,59. Prime factorization of 3127 in exponential form is:
3127 = 531×591
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 3127 and 3135.
LCM(3127,3135) = 31×51×111×191×531×591
LCM(3127,3135) = 9803145
Factors of 3127
List of positive integer factors of 3127 that divides 3127 without a remainder.
1, 53, 59, 3127
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3127 and 3135, than apply into the LCM equation.
GCF(3127,3135) = 1
LCM(3127,3135) = ( 3127 × 3135) / 1
LCM(3127,3135) = 9803145 / 1
LCM(3127,3135) = 9803145
(i) The LCM of 3135 and 3127 is associative
LCM of 3127 and 3135 = LCM of 3135 and 3127
1. What is the LCM of 3127 and 3135?
Answer: LCM of 3127 and 3135 is 9803145.
2. What are the Factors of 3127?
Answer: Factors of 3127 are 1, 53, 59, 3127. There are 4 integers that are factors of 3127. The greatest factor of 3127 is 3127.
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 3127 and 3135?
Answer:
Least Common Multiple of 3127 and 3135 = 9803145
Step 1: Find the prime factorization of 3127
3127 = 53 x 59
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 = 9803145 = 3 x 5 x 11 x 19 x 53 x 59
Step 4: Therefore, the least common multiple of 3127 and 3135 is 9803145.