Least Common Multiple of 3475 and 3483
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3475 and 3483 the smallest integer that is 12103425 that is divisible by both numbers.
Least Common Multiple (LCM) of 3475 and 3483 is 12103425.
LCM(3475,3483) = 12103425
LCM of 3475 and 3483
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3475 and 3483 by Prime method
- Least Common Multiple of 3475 and 3483 with GCF Formula
LCM of 3475 and 3483 is 12103425
Least common multiple can be found by multiplying the highest exponent prime factors of 3475 and 3483. First we will calculate the prime factors of 3475 and 3483.
Prime Factorization of 3475
| 5 | 3475 |
| 5 | 695 |
| 139 | 139 |
| 1 |
Prime factors of 3475 are 5,139. Prime factorization of 3475 in exponential form is:
3475 = 52×1391
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3475 and 3483.
LCM(3475,3483) = 34×52×431×1391
LCM(3475,3483) = 12103425
Factors of 3475
List of positive integer factors of 3475 that divides 3475 without a remainder.
1, 5, 25, 139, 695, 3475
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
Least Common Multiple of 3475 and 3483 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3475 and 3483, than apply into the LCM equation.
GCF(3475,3483) = 1
LCM(3475,3483) = ( 3475 × 3483) / 1
LCM(3475,3483) = 12103425 / 1
LCM(3475,3483) = 12103425
Properties of LCM 3475 and 3483
(i) The LCM of 3483 and 3475 is associative
LCM of 3475 and 3483 = LCM of 3483 and 3475
Related Least Common Multiples of 3475
Related Least Common Multiples of 3483
Frequently Asked Questions on LCM of 3475 and 3483
1. What is the LCM of 3475 and 3483?
Answer: LCM of 3475 and 3483 is 12103425.
2. What are the Factors of 3475?
Answer: Factors of 3475 are 1, 5, 25, 139, 695, 3475. There are 6 integers that are factors of 3475. The greatest factor of 3475 is 3475.
3. 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.
4. How to Find the LCM of 3475 and 3483?
Answer:
Least Common Multiple of 3475 and 3483 = 12103425
Step 1: Find the prime factorization of 3475
3475 = 5 x 5 x 139
Step 2: Find the prime factorization of 3483
3483 = 3 x 3 x 3 x 3 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12103425 = 3 x 3 x 3 x 3 x 5 x 5 x 43 x 139
Step 4: Therefore, the least common multiple of 3475 and 3483 is 12103425.