Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3132 and 3135 the smallest integer that is 3272940 that is divisible by both numbers.
Least Common Multiple (LCM) of 3132 and 3135 is 3272940.
LCM(3132,3135) = 3272940
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 3132 and 3135. First we will calculate the prime factors of 3132 and 3135.
Prime Factorization of 3132
2 | 3132 |
2 | 1566 |
3 | 783 |
3 | 261 |
3 | 87 |
29 | 29 |
1 |
Prime factors of 3132 are 2, 3,29. Prime factorization of 3132 in exponential form is:
3132 = 22×33×291
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 3132 and 3135.
LCM(3132,3135) = 22×33×51×111×191×291
LCM(3132,3135) = 3272940
Factors of 3132
List of positive integer factors of 3132 that divides 3132 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132
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 3132 and 3135, than apply into the LCM equation.
GCF(3132,3135) = 3
LCM(3132,3135) = ( 3132 × 3135) / 3
LCM(3132,3135) = 9818820 / 3
LCM(3132,3135) = 3272940
(i) The LCM of 3135 and 3132 is associative
LCM of 3132 and 3135 = LCM of 3135 and 3132
1. What is the LCM of 3132 and 3135?
Answer: LCM of 3132 and 3135 is 3272940.
2. What are the Factors of 3132?
Answer: Factors of 3132 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132. There are 24 integers that are factors of 3132. The greatest factor of 3132 is 3132.
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 3132 and 3135?
Answer:
Least Common Multiple of 3132 and 3135 = 3272940
Step 1: Find the prime factorization of 3132
3132 = 2 x 2 x 3 x 3 x 3 x 29
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 = 3272940 = 2 x 2 x 3 x 3 x 3 x 5 x 11 x 19 x 29
Step 4: Therefore, the least common multiple of 3132 and 3135 is 3272940.