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 3462 the smallest integer that is 11981982 that is divisible by both numbers.
Least Common Multiple (LCM) of 3461 and 3462 is 11981982.
LCM(3461,3462) = 11981982
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 3462. First we will calculate the prime factors of 3461 and 3462.
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 3462
2 | 3462 |
3 | 1731 |
577 | 577 |
1 |
Prime factors of 3462 are 2, 3,577. Prime factorization of 3462 in exponential form is:
3462 = 21×31×5771
Now multiplying the highest exponent prime factors to calculate the LCM of 3461 and 3462.
LCM(3461,3462) = 21×31×5771×34611
LCM(3461,3462) = 11981982
Factors of 3461
List of positive integer factors of 3461 that divides 3461 without a remainder.
1, 3461
Factors of 3462
List of positive integer factors of 3462 that divides 3462 without a remainder.
1, 2, 3, 6, 577, 1154, 1731, 3462
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3461 and 3462, than apply into the LCM equation.
GCF(3461,3462) = 1
LCM(3461,3462) = ( 3461 × 3462) / 1
LCM(3461,3462) = 11981982 / 1
LCM(3461,3462) = 11981982
(i) The LCM of 3462 and 3461 is associative
LCM of 3461 and 3462 = LCM of 3462 and 3461
1. What is the LCM of 3461 and 3462?
Answer: LCM of 3461 and 3462 is 11981982.
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 3462?
Answer: Factors of 3462 are 1, 2, 3, 6, 577, 1154, 1731, 3462. There are 8 integers that are factors of 3462. The greatest factor of 3462 is 3462.
4. How to Find the LCM of 3461 and 3462?
Answer:
Least Common Multiple of 3461 and 3462 = 11981982
Step 1: Find the prime factorization of 3461
3461 = 3461
Step 2: Find the prime factorization of 3462
3462 = 2 x 3 x 577
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11981982 = 2 x 3 x 577 x 3461
Step 4: Therefore, the least common multiple of 3461 and 3462 is 11981982.