Least Common Multiple of 3477 and 3481
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 3481 the smallest integer that is 12103437 that is divisible by both numbers.
Least Common Multiple (LCM) of 3477 and 3481 is 12103437.
LCM(3477,3481) = 12103437
LCM of 3477 and 3481
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3477 and 3481 by Prime method
- Least Common Multiple of 3477 and 3481 with GCF Formula
LCM of 3477 and 3481 is 12103437
Least common multiple can be found by multiplying the highest exponent prime factors of 3477 and 3481. First we will calculate the prime factors of 3477 and 3481.
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 3481
| 59 | 3481 |
| 59 | 59 |
| 1 |
Prime factors of 3481 are 59. Prime factorization of 3481 in exponential form is:
3481 = 592
Now multiplying the highest exponent prime factors to calculate the LCM of 3477 and 3481.
LCM(3477,3481) = 31×191×592×611
LCM(3477,3481) = 12103437
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 3481
List of positive integer factors of 3481 that divides 3481 without a remainder.
1, 59, 3481
Least Common Multiple of 3477 and 3481 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 3481, than apply into the LCM equation.
GCF(3477,3481) = 1
LCM(3477,3481) = ( 3477 × 3481) / 1
LCM(3477,3481) = 12103437 / 1
LCM(3477,3481) = 12103437
Properties of LCM 3477 and 3481
(i) The LCM of 3481 and 3477 is associative
LCM of 3477 and 3481 = LCM of 3481 and 3477
Related Least Common Multiples of 3477
Related Least Common Multiples of 3481
Frequently Asked Questions on LCM of 3477 and 3481
1. What is the LCM of 3477 and 3481?
Answer: LCM of 3477 and 3481 is 12103437.
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 3481?
Answer: Factors of 3481 are 1, 59, 3481. There are 3 integers that are factors of 3481. The greatest factor of 3481 is 3481.
4. How to Find the LCM of 3477 and 3481?
Answer:
Least Common Multiple of 3477 and 3481 = 12103437
Step 1: Find the prime factorization of 3477
3477 = 3 x 19 x 61
Step 2: Find the prime factorization of 3481
3481 = 59 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12103437 = 3 x 19 x 59 x 59 x 61
Step 4: Therefore, the least common multiple of 3477 and 3481 is 12103437.