Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8684 and 8688 the smallest integer that is 18861648 that is divisible by both numbers.
Least Common Multiple (LCM) of 8684 and 8688 is 18861648.
LCM(8684,8688) = 18861648
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 8684 and 8688. First we will calculate the prime factors of 8684 and 8688.
Prime Factorization of 8684
2 | 8684 |
2 | 4342 |
13 | 2171 |
167 | 167 |
1 |
Prime factors of 8684 are 2, 13,167. Prime factorization of 8684 in exponential form is:
8684 = 22×131×1671
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 8684 and 8688.
LCM(8684,8688) = 24×31×131×1671×1811
LCM(8684,8688) = 18861648
Factors of 8684
List of positive integer factors of 8684 that divides 8684 without a remainder.
1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684
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 8684 and 8688, than apply into the LCM equation.
GCF(8684,8688) = 4
LCM(8684,8688) = ( 8684 × 8688) / 4
LCM(8684,8688) = 75446592 / 4
LCM(8684,8688) = 18861648
(i) The LCM of 8688 and 8684 is associative
LCM of 8684 and 8688 = LCM of 8688 and 8684
1. What is the LCM of 8684 and 8688?
Answer: LCM of 8684 and 8688 is 18861648.
2. What are the Factors of 8684?
Answer: Factors of 8684 are 1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684. There are 12 integers that are factors of 8684. The greatest factor of 8684 is 8684.
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 8684 and 8688?
Answer:
Least Common Multiple of 8684 and 8688 = 18861648
Step 1: Find the prime factorization of 8684
8684 = 2 x 2 x 13 x 167
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 = 18861648 = 2 x 2 x 2 x 2 x 3 x 13 x 167 x 181
Step 4: Therefore, the least common multiple of 8684 and 8688 is 18861648.