Least Common Multiple of 3478 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 3478 and 3483 the smallest integer that is 12113874 that is divisible by both numbers.
Least Common Multiple (LCM) of 3478 and 3483 is 12113874.
LCM(3478,3483) = 12113874
LCM of 3478 and 3483
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3478 and 3483 by Prime method
- Least Common Multiple of 3478 and 3483 with GCF Formula
LCM of 3478 and 3483 is 12113874
Least common multiple can be found by multiplying the highest exponent prime factors of 3478 and 3483. First we will calculate the prime factors of 3478 and 3483.
Prime Factorization of 3478
| 2 | 3478 |
| 37 | 1739 |
| 47 | 47 |
| 1 |
Prime factors of 3478 are 2, 37,47. Prime factorization of 3478 in exponential form is:
3478 = 21×371×471
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 3478 and 3483.
LCM(3478,3483) = 21×34×371×431×471
LCM(3478,3483) = 12113874
Factors of 3478
List of positive integer factors of 3478 that divides 3478 without a remainder.
1, 2, 37, 47, 74, 94, 1739, 3478
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 3478 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 3478 and 3483, than apply into the LCM equation.
GCF(3478,3483) = 1
LCM(3478,3483) = ( 3478 × 3483) / 1
LCM(3478,3483) = 12113874 / 1
LCM(3478,3483) = 12113874
Properties of LCM 3478 and 3483
(i) The LCM of 3483 and 3478 is associative
LCM of 3478 and 3483 = LCM of 3483 and 3478
Related Least Common Multiples of 3478
Related Least Common Multiples of 3483
Frequently Asked Questions on LCM of 3478 and 3483
1. What is the LCM of 3478 and 3483?
Answer: LCM of 3478 and 3483 is 12113874.
2. What are the Factors of 3478?
Answer: Factors of 3478 are 1, 2, 37, 47, 74, 94, 1739, 3478. There are 8 integers that are factors of 3478. The greatest factor of 3478 is 3478.
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 3478 and 3483?
Answer:
Least Common Multiple of 3478 and 3483 = 12113874
Step 1: Find the prime factorization of 3478
3478 = 2 x 37 x 47
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 = 12113874 = 2 x 3 x 3 x 3 x 3 x 37 x 43 x 47
Step 4: Therefore, the least common multiple of 3478 and 3483 is 12113874.