Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3425 and 3428 the smallest integer that is 11740900 that is divisible by both numbers.
Least Common Multiple (LCM) of 3425 and 3428 is 11740900.
LCM(3425,3428) = 11740900
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 3425 and 3428. First we will calculate the prime factors of 3425 and 3428.
Prime Factorization of 3425
5 | 3425 |
5 | 685 |
137 | 137 |
1 |
Prime factors of 3425 are 5,137. Prime factorization of 3425 in exponential form is:
3425 = 52×1371
Prime Factorization of 3428
2 | 3428 |
2 | 1714 |
857 | 857 |
1 |
Prime factors of 3428 are 2,857. Prime factorization of 3428 in exponential form is:
3428 = 22×8571
Now multiplying the highest exponent prime factors to calculate the LCM of 3425 and 3428.
LCM(3425,3428) = 22×52×1371×8571
LCM(3425,3428) = 11740900
Factors of 3425
List of positive integer factors of 3425 that divides 3425 without a remainder.
1, 5, 25, 137, 685, 3425
Factors of 3428
List of positive integer factors of 3428 that divides 3428 without a remainder.
1, 2, 4, 857, 1714, 3428
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3425 and 3428, than apply into the LCM equation.
GCF(3425,3428) = 1
LCM(3425,3428) = ( 3425 × 3428) / 1
LCM(3425,3428) = 11740900 / 1
LCM(3425,3428) = 11740900
(i) The LCM of 3428 and 3425 is associative
LCM of 3425 and 3428 = LCM of 3428 and 3425
1. What is the LCM of 3425 and 3428?
Answer: LCM of 3425 and 3428 is 11740900.
2. What are the Factors of 3425?
Answer: Factors of 3425 are 1, 5, 25, 137, 685, 3425. There are 6 integers that are factors of 3425. The greatest factor of 3425 is 3425.
3. What are the Factors of 3428?
Answer: Factors of 3428 are 1, 2, 4, 857, 1714, 3428. There are 6 integers that are factors of 3428. The greatest factor of 3428 is 3428.
4. How to Find the LCM of 3425 and 3428?
Answer:
Least Common Multiple of 3425 and 3428 = 11740900
Step 1: Find the prime factorization of 3425
3425 = 5 x 5 x 137
Step 2: Find the prime factorization of 3428
3428 = 2 x 2 x 857
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11740900 = 2 x 2 x 5 x 5 x 137 x 857
Step 4: Therefore, the least common multiple of 3425 and 3428 is 11740900.