Least Common Multiple of 3477 and 3485
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3477 and 3485 the smallest integer that is 12117345 that is divisible by both numbers.
Least Common Multiple (LCM) of 3477 and 3485 is 12117345.
LCM(3477,3485) = 12117345
LCM of 3477 and 3485
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3477 and 3485 by Prime method
- Least Common Multiple of 3477 and 3485 with GCF Formula
LCM of 3477 and 3485 is 12117345
Least common multiple can be found by multiplying the highest exponent prime factors of 3477 and 3485. First we will calculate the prime factors of 3477 and 3485.
Prime Factorization of 3477
| 3 | 3477 |
| 19 | 1159 |
| 61 | 61 |
| 1 |
Prime factors of 3477 are 3, 19,61. Prime factorization of 3477 in exponential form is:
3477 = 31×191×611
Prime Factorization of 3485
| 5 | 3485 |
| 17 | 697 |
| 41 | 41 |
| 1 |
Prime factors of 3485 are 5, 17,41. Prime factorization of 3485 in exponential form is:
3485 = 51×171×411
Now multiplying the highest exponent prime factors to calculate the LCM of 3477 and 3485.
LCM(3477,3485) = 31×51×171×191×411×611
LCM(3477,3485) = 12117345
Factors of 3477
List of positive integer factors of 3477 that divides 3477 without a remainder.
1, 3, 19, 57, 61, 183, 1159, 3477
Factors of 3485
List of positive integer factors of 3485 that divides 3485 without a remainder.
1, 5, 17, 41, 85, 205, 697, 3485
Least Common Multiple of 3477 and 3485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3477 and 3485, than apply into the LCM equation.
GCF(3477,3485) = 1
LCM(3477,3485) = ( 3477 × 3485) / 1
LCM(3477,3485) = 12117345 / 1
LCM(3477,3485) = 12117345
Properties of LCM 3477 and 3485
(i) The LCM of 3485 and 3477 is associative
LCM of 3477 and 3485 = LCM of 3485 and 3477
Related Least Common Multiples of 3477
Related Least Common Multiples of 3485
Frequently Asked Questions on LCM of 3477 and 3485
1. What is the LCM of 3477 and 3485?
Answer: LCM of 3477 and 3485 is 12117345.
2. What are the Factors of 3477?
Answer: Factors of 3477 are 1, 3, 19, 57, 61, 183, 1159, 3477. There are 8 integers that are factors of 3477. The greatest factor of 3477 is 3477.
3. What are the Factors of 3485?
Answer: Factors of 3485 are 1, 5, 17, 41, 85, 205, 697, 3485. There are 8 integers that are factors of 3485. The greatest factor of 3485 is 3485.
4. How to Find the LCM of 3477 and 3485?
Answer:
Least Common Multiple of 3477 and 3485 = 12117345
Step 1: Find the prime factorization of 3477
3477 = 3 x 19 x 61
Step 2: Find the prime factorization of 3485
3485 = 5 x 17 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12117345 = 3 x 5 x 17 x 19 x 41 x 61
Step 4: Therefore, the least common multiple of 3477 and 3485 is 12117345.