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 4326 the smallest integer that is 9348486 that is divisible by both numbers.
Least Common Multiple (LCM) of 4322 and 4326 is 9348486.
LCM(4322,4326) = 9348486
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 4326. First we will calculate the prime factors of 4322 and 4326.
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 4326
2 | 4326 |
3 | 2163 |
7 | 721 |
103 | 103 |
1 |
Prime factors of 4326 are 2, 3, 7,103. Prime factorization of 4326 in exponential form is:
4326 = 21×31×71×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 4322 and 4326.
LCM(4322,4326) = 21×31×71×1031×21611
LCM(4322,4326) = 9348486
Factors of 4322
List of positive integer factors of 4322 that divides 4322 without a remainder.
1, 2, 2161, 4322
Factors of 4326
List of positive integer factors of 4326 that divides 4326 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 103, 206, 309, 618, 721, 1442, 2163, 4326
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4322 and 4326, than apply into the LCM equation.
GCF(4322,4326) = 2
LCM(4322,4326) = ( 4322 × 4326) / 2
LCM(4322,4326) = 18696972 / 2
LCM(4322,4326) = 9348486
(i) The LCM of 4326 and 4322 is associative
LCM of 4322 and 4326 = LCM of 4326 and 4322
1. What is the LCM of 4322 and 4326?
Answer: LCM of 4322 and 4326 is 9348486.
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 4326?
Answer: Factors of 4326 are 1, 2, 3, 6, 7, 14, 21, 42, 103, 206, 309, 618, 721, 1442, 2163, 4326. There are 16 integers that are factors of 4326. The greatest factor of 4326 is 4326.
4. How to Find the LCM of 4322 and 4326?
Answer:
Least Common Multiple of 4322 and 4326 = 9348486
Step 1: Find the prime factorization of 4322
4322 = 2 x 2161
Step 2: Find the prime factorization of 4326
4326 = 2 x 3 x 7 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9348486 = 2 x 3 x 7 x 103 x 2161
Step 4: Therefore, the least common multiple of 4322 and 4326 is 9348486.