Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2326 and 2333 the smallest integer that is 5426558 that is divisible by both numbers.
Least Common Multiple (LCM) of 2326 and 2333 is 5426558.
LCM(2326,2333) = 5426558
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 2326 and 2333. First we will calculate the prime factors of 2326 and 2333.
Prime Factorization of 2326
2 | 2326 |
1163 | 1163 |
1 |
Prime factors of 2326 are 2,1163. Prime factorization of 2326 in exponential form is:
2326 = 21×11631
Prime Factorization of 2333
2333 | 2333 |
1 |
Prime factors of 2333 are 2333. Prime factorization of 2333 in exponential form is:
2333 = 23331
Now multiplying the highest exponent prime factors to calculate the LCM of 2326 and 2333.
LCM(2326,2333) = 21×11631×23331
LCM(2326,2333) = 5426558
Factors of 2326
List of positive integer factors of 2326 that divides 2326 without a remainder.
1, 2, 1163, 2326
Factors of 2333
List of positive integer factors of 2333 that divides 2333 without a remainder.
1, 2333
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2326 and 2333, than apply into the LCM equation.
GCF(2326,2333) = 1
LCM(2326,2333) = ( 2326 × 2333) / 1
LCM(2326,2333) = 5426558 / 1
LCM(2326,2333) = 5426558
(i) The LCM of 2333 and 2326 is associative
LCM of 2326 and 2333 = LCM of 2333 and 2326
1. What is the LCM of 2326 and 2333?
Answer: LCM of 2326 and 2333 is 5426558.
2. What are the Factors of 2326?
Answer: Factors of 2326 are 1, 2, 1163, 2326. There are 4 integers that are factors of 2326. The greatest factor of 2326 is 2326.
3. What are the Factors of 2333?
Answer: Factors of 2333 are 1, 2333. There are 2 integers that are factors of 2333. The greatest factor of 2333 is 2333.
4. How to Find the LCM of 2326 and 2333?
Answer:
Least Common Multiple of 2326 and 2333 = 5426558
Step 1: Find the prime factorization of 2326
2326 = 2 x 1163
Step 2: Find the prime factorization of 2333
2333 = 2333
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5426558 = 2 x 1163 x 2333
Step 4: Therefore, the least common multiple of 2326 and 2333 is 5426558.