Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3548 and 3554 the smallest integer that is 6304796 that is divisible by both numbers.
Least Common Multiple (LCM) of 3548 and 3554 is 6304796.
LCM(3548,3554) = 6304796
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 3548 and 3554. First we will calculate the prime factors of 3548 and 3554.
Prime Factorization of 3548
2 | 3548 |
2 | 1774 |
887 | 887 |
1 |
Prime factors of 3548 are 2,887. Prime factorization of 3548 in exponential form is:
3548 = 22×8871
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3548 and 3554.
LCM(3548,3554) = 22×8871×17771
LCM(3548,3554) = 6304796
Factors of 3548
List of positive integer factors of 3548 that divides 3548 without a remainder.
1, 2, 4, 887, 1774, 3548
Factors of 3554
List of positive integer factors of 3554 that divides 3554 without a remainder.
1, 2, 1777, 3554
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3548 and 3554, than apply into the LCM equation.
GCF(3548,3554) = 2
LCM(3548,3554) = ( 3548 × 3554) / 2
LCM(3548,3554) = 12609592 / 2
LCM(3548,3554) = 6304796
(i) The LCM of 3554 and 3548 is associative
LCM of 3548 and 3554 = LCM of 3554 and 3548
1. What is the LCM of 3548 and 3554?
Answer: LCM of 3548 and 3554 is 6304796.
2. What are the Factors of 3548?
Answer: Factors of 3548 are 1, 2, 4, 887, 1774, 3548. There are 6 integers that are factors of 3548. The greatest factor of 3548 is 3548.
3. 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.
4. How to Find the LCM of 3548 and 3554?
Answer:
Least Common Multiple of 3548 and 3554 = 6304796
Step 1: Find the prime factorization of 3548
3548 = 2 x 2 x 887
Step 2: Find the prime factorization of 3554
3554 = 2 x 1777
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6304796 = 2 x 2 x 887 x 1777
Step 4: Therefore, the least common multiple of 3548 and 3554 is 6304796.