Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3461 and 3466 the smallest integer that is 11995826 that is divisible by both numbers.
Least Common Multiple (LCM) of 3461 and 3466 is 11995826.
LCM(3461,3466) = 11995826
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3461 and 3466. First we will calculate the prime factors of 3461 and 3466.
Prime Factorization of 3461
3461 | 3461 |
1 |
Prime factors of 3461 are 3461. Prime factorization of 3461 in exponential form is:
3461 = 34611
Prime Factorization of 3466
2 | 3466 |
1733 | 1733 |
1 |
Prime factors of 3466 are 2,1733. Prime factorization of 3466 in exponential form is:
3466 = 21×17331
Now multiplying the highest exponent prime factors to calculate the LCM of 3461 and 3466.
LCM(3461,3466) = 21×17331×34611
LCM(3461,3466) = 11995826
Factors of 3461
List of positive integer factors of 3461 that divides 3461 without a remainder.
1, 3461
Factors of 3466
List of positive integer factors of 3466 that divides 3466 without a remainder.
1, 2, 1733, 3466
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3461 and 3466, than apply into the LCM equation.
GCF(3461,3466) = 1
LCM(3461,3466) = ( 3461 × 3466) / 1
LCM(3461,3466) = 11995826 / 1
LCM(3461,3466) = 11995826
(i) The LCM of 3466 and 3461 is associative
LCM of 3461 and 3466 = LCM of 3466 and 3461
1. What is the LCM of 3461 and 3466?
Answer: LCM of 3461 and 3466 is 11995826.
2. What are the Factors of 3461?
Answer: Factors of 3461 are 1, 3461. There are 2 integers that are factors of 3461. The greatest factor of 3461 is 3461.
3. What are the Factors of 3466?
Answer: Factors of 3466 are 1, 2, 1733, 3466. There are 4 integers that are factors of 3466. The greatest factor of 3466 is 3466.
4. How to Find the LCM of 3461 and 3466?
Answer:
Least Common Multiple of 3461 and 3466 = 11995826
Step 1: Find the prime factorization of 3461
3461 = 3461
Step 2: Find the prime factorization of 3466
3466 = 2 x 1733
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11995826 = 2 x 1733 x 3461
Step 4: Therefore, the least common multiple of 3461 and 3466 is 11995826.