Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3554 and 3559 the smallest integer that is 12648686 that is divisible by both numbers.
Least Common Multiple (LCM) of 3554 and 3559 is 12648686.
LCM(3554,3559) = 12648686
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 3554 and 3559. First we will calculate the prime factors of 3554 and 3559.
Prime Factorization of 3554
2 | 3554 |
1777 | 1777 |
1 |
Prime factors of 3554 are 2,1777. Prime factorization of 3554 in exponential form is:
3554 = 21×17771
Prime Factorization of 3559
3559 | 3559 |
1 |
Prime factors of 3559 are 3559. Prime factorization of 3559 in exponential form is:
3559 = 35591
Now multiplying the highest exponent prime factors to calculate the LCM of 3554 and 3559.
LCM(3554,3559) = 21×17771×35591
LCM(3554,3559) = 12648686
Factors of 3554
List of positive integer factors of 3554 that divides 3554 without a remainder.
1, 2, 1777, 3554
Factors of 3559
List of positive integer factors of 3559 that divides 3559 without a remainder.
1, 3559
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3554 and 3559, than apply into the LCM equation.
GCF(3554,3559) = 1
LCM(3554,3559) = ( 3554 × 3559) / 1
LCM(3554,3559) = 12648686 / 1
LCM(3554,3559) = 12648686
(i) The LCM of 3559 and 3554 is associative
LCM of 3554 and 3559 = LCM of 3559 and 3554
1. What is the LCM of 3554 and 3559?
Answer: LCM of 3554 and 3559 is 12648686.
2. What are the Factors of 3554?
Answer: Factors of 3554 are 1, 2, 1777, 3554. There are 4 integers that are factors of 3554. The greatest factor of 3554 is 3554.
3. What are the Factors of 3559?
Answer: Factors of 3559 are 1, 3559. There are 2 integers that are factors of 3559. The greatest factor of 3559 is 3559.
4. How to Find the LCM of 3554 and 3559?
Answer:
Least Common Multiple of 3554 and 3559 = 12648686
Step 1: Find the prime factorization of 3554
3554 = 2 x 1777
Step 2: Find the prime factorization of 3559
3559 = 3559
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12648686 = 2 x 1777 x 3559
Step 4: Therefore, the least common multiple of 3554 and 3559 is 12648686.