Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8676 and 8683 the smallest integer that is 75333708 that is divisible by both numbers.
Least Common Multiple (LCM) of 8676 and 8683 is 75333708.
LCM(8676,8683) = 75333708
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 8676 and 8683. First we will calculate the prime factors of 8676 and 8683.
Prime Factorization of 8676
2 | 8676 |
2 | 4338 |
3 | 2169 |
3 | 723 |
241 | 241 |
1 |
Prime factors of 8676 are 2, 3,241. Prime factorization of 8676 in exponential form is:
8676 = 22×32×2411
Prime Factorization of 8683
19 | 8683 |
457 | 457 |
1 |
Prime factors of 8683 are 19,457. Prime factorization of 8683 in exponential form is:
8683 = 191×4571
Now multiplying the highest exponent prime factors to calculate the LCM of 8676 and 8683.
LCM(8676,8683) = 22×32×191×2411×4571
LCM(8676,8683) = 75333708
Factors of 8676
List of positive integer factors of 8676 that divides 8676 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 241, 482, 723, 964, 1446, 2169, 2892, 4338, 8676
Factors of 8683
List of positive integer factors of 8683 that divides 8683 without a remainder.
1, 19, 457, 8683
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8676 and 8683, than apply into the LCM equation.
GCF(8676,8683) = 1
LCM(8676,8683) = ( 8676 × 8683) / 1
LCM(8676,8683) = 75333708 / 1
LCM(8676,8683) = 75333708
(i) The LCM of 8683 and 8676 is associative
LCM of 8676 and 8683 = LCM of 8683 and 8676
1. What is the LCM of 8676 and 8683?
Answer: LCM of 8676 and 8683 is 75333708.
2. What are the Factors of 8676?
Answer: Factors of 8676 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 241, 482, 723, 964, 1446, 2169, 2892, 4338, 8676. There are 18 integers that are factors of 8676. The greatest factor of 8676 is 8676.
3. What are the Factors of 8683?
Answer: Factors of 8683 are 1, 19, 457, 8683. There are 4 integers that are factors of 8683. The greatest factor of 8683 is 8683.
4. How to Find the LCM of 8676 and 8683?
Answer:
Least Common Multiple of 8676 and 8683 = 75333708
Step 1: Find the prime factorization of 8676
8676 = 2 x 2 x 3 x 3 x 241
Step 2: Find the prime factorization of 8683
8683 = 19 x 457
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75333708 = 2 x 2 x 3 x 3 x 19 x 241 x 457
Step 4: Therefore, the least common multiple of 8676 and 8683 is 75333708.