Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8324 and 8326 the smallest integer that is 34652812 that is divisible by both numbers.
Least Common Multiple (LCM) of 8324 and 8326 is 34652812.
LCM(8324,8326) = 34652812
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 8324 and 8326. First we will calculate the prime factors of 8324 and 8326.
Prime Factorization of 8324
2 | 8324 |
2 | 4162 |
2081 | 2081 |
1 |
Prime factors of 8324 are 2,2081. Prime factorization of 8324 in exponential form is:
8324 = 22×20811
Prime Factorization of 8326
2 | 8326 |
23 | 4163 |
181 | 181 |
1 |
Prime factors of 8326 are 2, 23,181. Prime factorization of 8326 in exponential form is:
8326 = 21×231×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 8324 and 8326.
LCM(8324,8326) = 22×231×1811×20811
LCM(8324,8326) = 34652812
Factors of 8324
List of positive integer factors of 8324 that divides 8324 without a remainder.
1, 2, 4, 2081, 4162, 8324
Factors of 8326
List of positive integer factors of 8326 that divides 8326 without a remainder.
1, 2, 23, 46, 181, 362, 4163, 8326
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8324 and 8326, than apply into the LCM equation.
GCF(8324,8326) = 2
LCM(8324,8326) = ( 8324 × 8326) / 2
LCM(8324,8326) = 69305624 / 2
LCM(8324,8326) = 34652812
(i) The LCM of 8326 and 8324 is associative
LCM of 8324 and 8326 = LCM of 8326 and 8324
1. What is the LCM of 8324 and 8326?
Answer: LCM of 8324 and 8326 is 34652812.
2. What are the Factors of 8324?
Answer: Factors of 8324 are 1, 2, 4, 2081, 4162, 8324. There are 6 integers that are factors of 8324. The greatest factor of 8324 is 8324.
3. What are the Factors of 8326?
Answer: Factors of 8326 are 1, 2, 23, 46, 181, 362, 4163, 8326. There are 8 integers that are factors of 8326. The greatest factor of 8326 is 8326.
4. How to Find the LCM of 8324 and 8326?
Answer:
Least Common Multiple of 8324 and 8326 = 34652812
Step 1: Find the prime factorization of 8324
8324 = 2 x 2 x 2081
Step 2: Find the prime factorization of 8326
8326 = 2 x 23 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 = 34652812 = 2 x 2 x 23 x 181 x 2081
Step 4: Therefore, the least common multiple of 8324 and 8326 is 34652812.