Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4322 and 4328 the smallest integer that is 9352808 that is divisible by both numbers.
Least Common Multiple (LCM) of 4322 and 4328 is 9352808.
LCM(4322,4328) = 9352808
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 4322 and 4328. First we will calculate the prime factors of 4322 and 4328.
Prime Factorization of 4322
2 | 4322 |
2161 | 2161 |
1 |
Prime factors of 4322 are 2,2161. Prime factorization of 4322 in exponential form is:
4322 = 21×21611
Prime Factorization of 4328
2 | 4328 |
2 | 2164 |
2 | 1082 |
541 | 541 |
1 |
Prime factors of 4328 are 2,541. Prime factorization of 4328 in exponential form is:
4328 = 23×5411
Now multiplying the highest exponent prime factors to calculate the LCM of 4322 and 4328.
LCM(4322,4328) = 23×5411×21611
LCM(4322,4328) = 9352808
Factors of 4322
List of positive integer factors of 4322 that divides 4322 without a remainder.
1, 2, 2161, 4322
Factors of 4328
List of positive integer factors of 4328 that divides 4328 without a remainder.
1, 2, 4, 8, 541, 1082, 2164, 4328
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4322 and 4328, than apply into the LCM equation.
GCF(4322,4328) = 2
LCM(4322,4328) = ( 4322 × 4328) / 2
LCM(4322,4328) = 18705616 / 2
LCM(4322,4328) = 9352808
(i) The LCM of 4328 and 4322 is associative
LCM of 4322 and 4328 = LCM of 4328 and 4322
1. What is the LCM of 4322 and 4328?
Answer: LCM of 4322 and 4328 is 9352808.
2. What are the Factors of 4322?
Answer: Factors of 4322 are 1, 2, 2161, 4322. There are 4 integers that are factors of 4322. The greatest factor of 4322 is 4322.
3. What are the Factors of 4328?
Answer: Factors of 4328 are 1, 2, 4, 8, 541, 1082, 2164, 4328. There are 8 integers that are factors of 4328. The greatest factor of 4328 is 4328.
4. How to Find the LCM of 4322 and 4328?
Answer:
Least Common Multiple of 4322 and 4328 = 9352808
Step 1: Find the prime factorization of 4322
4322 = 2 x 2161
Step 2: Find the prime factorization of 4328
4328 = 2 x 2 x 2 x 541
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9352808 = 2 x 2 x 2 x 541 x 2161
Step 4: Therefore, the least common multiple of 4322 and 4328 is 9352808.