Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8674 and 8682 the smallest integer that is 37653834 that is divisible by both numbers.
Least Common Multiple (LCM) of 8674 and 8682 is 37653834.
LCM(8674,8682) = 37653834
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 8674 and 8682. First we will calculate the prime factors of 8674 and 8682.
Prime Factorization of 8674
2 | 8674 |
4337 | 4337 |
1 |
Prime factors of 8674 are 2,4337. Prime factorization of 8674 in exponential form is:
8674 = 21×43371
Prime Factorization of 8682
2 | 8682 |
3 | 4341 |
1447 | 1447 |
1 |
Prime factors of 8682 are 2, 3,1447. Prime factorization of 8682 in exponential form is:
8682 = 21×31×14471
Now multiplying the highest exponent prime factors to calculate the LCM of 8674 and 8682.
LCM(8674,8682) = 21×31×14471×43371
LCM(8674,8682) = 37653834
Factors of 8674
List of positive integer factors of 8674 that divides 8674 without a remainder.
1, 2, 4337, 8674
Factors of 8682
List of positive integer factors of 8682 that divides 8682 without a remainder.
1, 2, 3, 6, 1447, 2894, 4341, 8682
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8674 and 8682, than apply into the LCM equation.
GCF(8674,8682) = 2
LCM(8674,8682) = ( 8674 × 8682) / 2
LCM(8674,8682) = 75307668 / 2
LCM(8674,8682) = 37653834
(i) The LCM of 8682 and 8674 is associative
LCM of 8674 and 8682 = LCM of 8682 and 8674
1. What is the LCM of 8674 and 8682?
Answer: LCM of 8674 and 8682 is 37653834.
2. What are the Factors of 8674?
Answer: Factors of 8674 are 1, 2, 4337, 8674. There are 4 integers that are factors of 8674. The greatest factor of 8674 is 8674.
3. What are the Factors of 8682?
Answer: Factors of 8682 are 1, 2, 3, 6, 1447, 2894, 4341, 8682. There are 8 integers that are factors of 8682. The greatest factor of 8682 is 8682.
4. How to Find the LCM of 8674 and 8682?
Answer:
Least Common Multiple of 8674 and 8682 = 37653834
Step 1: Find the prime factorization of 8674
8674 = 2 x 4337
Step 2: Find the prime factorization of 8682
8682 = 2 x 3 x 1447
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37653834 = 2 x 3 x 1447 x 4337
Step 4: Therefore, the least common multiple of 8674 and 8682 is 37653834.