Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3455 and 3463 the smallest integer that is 11964665 that is divisible by both numbers.
Least Common Multiple (LCM) of 3455 and 3463 is 11964665.
LCM(3455,3463) = 11964665
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 3455 and 3463. First we will calculate the prime factors of 3455 and 3463.
Prime Factorization of 3455
5 | 3455 |
691 | 691 |
1 |
Prime factors of 3455 are 5,691. Prime factorization of 3455 in exponential form is:
3455 = 51×6911
Prime Factorization of 3463
3463 | 3463 |
1 |
Prime factors of 3463 are 3463. Prime factorization of 3463 in exponential form is:
3463 = 34631
Now multiplying the highest exponent prime factors to calculate the LCM of 3455 and 3463.
LCM(3455,3463) = 51×6911×34631
LCM(3455,3463) = 11964665
Factors of 3455
List of positive integer factors of 3455 that divides 3455 without a remainder.
1, 5, 691, 3455
Factors of 3463
List of positive integer factors of 3463 that divides 3463 without a remainder.
1, 3463
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3455 and 3463, than apply into the LCM equation.
GCF(3455,3463) = 1
LCM(3455,3463) = ( 3455 × 3463) / 1
LCM(3455,3463) = 11964665 / 1
LCM(3455,3463) = 11964665
(i) The LCM of 3463 and 3455 is associative
LCM of 3455 and 3463 = LCM of 3463 and 3455
1. What is the LCM of 3455 and 3463?
Answer: LCM of 3455 and 3463 is 11964665.
2. What are the Factors of 3455?
Answer: Factors of 3455 are 1, 5, 691, 3455. There are 4 integers that are factors of 3455. The greatest factor of 3455 is 3455.
3. What are the Factors of 3463?
Answer: Factors of 3463 are 1, 3463. There are 2 integers that are factors of 3463. The greatest factor of 3463 is 3463.
4. How to Find the LCM of 3455 and 3463?
Answer:
Least Common Multiple of 3455 and 3463 = 11964665
Step 1: Find the prime factorization of 3455
3455 = 5 x 691
Step 2: Find the prime factorization of 3463
3463 = 3463
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11964665 = 5 x 691 x 3463
Step 4: Therefore, the least common multiple of 3455 and 3463 is 11964665.