Least Common Multiple of 3483 and 3487
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3483 and 3487 the smallest integer that is 12145221 that is divisible by both numbers.
Least Common Multiple (LCM) of 3483 and 3487 is 12145221.
LCM(3483,3487) = 12145221
LCM of 3483 and 3487
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3483 and 3487 by Prime method
- Least Common Multiple of 3483 and 3487 with GCF Formula
LCM of 3483 and 3487 is 12145221
Least common multiple can be found by multiplying the highest exponent prime factors of 3483 and 3487. First we will calculate the prime factors of 3483 and 3487.
Prime Factorization of 3483
| 3 | 3483 |
| 3 | 1161 |
| 3 | 387 |
| 3 | 129 |
| 43 | 43 |
| 1 |
Prime factors of 3483 are 3,43. Prime factorization of 3483 in exponential form is:
3483 = 34×431
Prime Factorization of 3487
| 11 | 3487 |
| 317 | 317 |
| 1 |
Prime factors of 3487 are 11,317. Prime factorization of 3487 in exponential form is:
3487 = 111×3171
Now multiplying the highest exponent prime factors to calculate the LCM of 3483 and 3487.
LCM(3483,3487) = 34×111×431×3171
LCM(3483,3487) = 12145221
Factors of 3483
List of positive integer factors of 3483 that divides 3483 without a remainder.
1, 3, 9, 27, 43, 81, 129, 387, 1161, 3483
Factors of 3487
List of positive integer factors of 3487 that divides 3487 without a remainder.
1, 11, 317, 3487
Least Common Multiple of 3483 and 3487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3483 and 3487, than apply into the LCM equation.
GCF(3483,3487) = 1
LCM(3483,3487) = ( 3483 × 3487) / 1
LCM(3483,3487) = 12145221 / 1
LCM(3483,3487) = 12145221
Properties of LCM 3483 and 3487
(i) The LCM of 3487 and 3483 is associative
LCM of 3483 and 3487 = LCM of 3487 and 3483
Related Least Common Multiples of 3483
Related Least Common Multiples of 3487
Frequently Asked Questions on LCM of 3483 and 3487
1. What is the LCM of 3483 and 3487?
Answer: LCM of 3483 and 3487 is 12145221.
2. What are the Factors of 3483?
Answer: Factors of 3483 are 1, 3, 9, 27, 43, 81, 129, 387, 1161, 3483. There are 10 integers that are factors of 3483. The greatest factor of 3483 is 3483.
3. What are the Factors of 3487?
Answer: Factors of 3487 are 1, 11, 317, 3487. There are 4 integers that are factors of 3487. The greatest factor of 3487 is 3487.
4. How to Find the LCM of 3483 and 3487?
Answer:
Least Common Multiple of 3483 and 3487 = 12145221
Step 1: Find the prime factorization of 3483
3483 = 3 x 3 x 3 x 3 x 43
Step 2: Find the prime factorization of 3487
3487 = 11 x 317
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12145221 = 3 x 3 x 3 x 3 x 11 x 43 x 317
Step 4: Therefore, the least common multiple of 3483 and 3487 is 12145221.