Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8683 and 8688 the smallest integer that is 75437904 that is divisible by both numbers.
Least Common Multiple (LCM) of 8683 and 8688 is 75437904.
LCM(8683,8688) = 75437904
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 8683 and 8688. First we will calculate the prime factors of 8683 and 8688.
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
Prime Factorization of 8688
2 | 8688 |
2 | 4344 |
2 | 2172 |
2 | 1086 |
3 | 543 |
181 | 181 |
1 |
Prime factors of 8688 are 2, 3,181. Prime factorization of 8688 in exponential form is:
8688 = 24×31×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 8683 and 8688.
LCM(8683,8688) = 24×31×191×1811×4571
LCM(8683,8688) = 75437904
Factors of 8683
List of positive integer factors of 8683 that divides 8683 without a remainder.
1, 19, 457, 8683
Factors of 8688
List of positive integer factors of 8688 that divides 8688 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 8688
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8683 and 8688, than apply into the LCM equation.
GCF(8683,8688) = 1
LCM(8683,8688) = ( 8683 × 8688) / 1
LCM(8683,8688) = 75437904 / 1
LCM(8683,8688) = 75437904
(i) The LCM of 8688 and 8683 is associative
LCM of 8683 and 8688 = LCM of 8688 and 8683
1. What is the LCM of 8683 and 8688?
Answer: LCM of 8683 and 8688 is 75437904.
2. 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.
3. What are the Factors of 8688?
Answer: Factors of 8688 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 8688. There are 20 integers that are factors of 8688. The greatest factor of 8688 is 8688.
4. How to Find the LCM of 8683 and 8688?
Answer:
Least Common Multiple of 8683 and 8688 = 75437904
Step 1: Find the prime factorization of 8683
8683 = 19 x 457
Step 2: Find the prime factorization of 8688
8688 = 2 x 2 x 2 x 2 x 3 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75437904 = 2 x 2 x 2 x 2 x 3 x 19 x 181 x 457
Step 4: Therefore, the least common multiple of 8683 and 8688 is 75437904.