Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1325 and 1333 the smallest integer that is 1766225 that is divisible by both numbers.
Least Common Multiple (LCM) of 1325 and 1333 is 1766225.
LCM(1325,1333) = 1766225
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 1325 and 1333. First we will calculate the prime factors of 1325 and 1333.
Prime Factorization of 1325
5 | 1325 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 1325 are 5,53. Prime factorization of 1325 in exponential form is:
1325 = 52×531
Prime Factorization of 1333
31 | 1333 |
43 | 43 |
1 |
Prime factors of 1333 are 31,43. Prime factorization of 1333 in exponential form is:
1333 = 311×431
Now multiplying the highest exponent prime factors to calculate the LCM of 1325 and 1333.
LCM(1325,1333) = 52×311×431×531
LCM(1325,1333) = 1766225
Factors of 1325
List of positive integer factors of 1325 that divides 1325 without a remainder.
1, 5, 25, 53, 265, 1325
Factors of 1333
List of positive integer factors of 1333 that divides 1333 without a remainder.
1, 31, 43, 1333
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1325 and 1333, than apply into the LCM equation.
GCF(1325,1333) = 1
LCM(1325,1333) = ( 1325 × 1333) / 1
LCM(1325,1333) = 1766225 / 1
LCM(1325,1333) = 1766225
(i) The LCM of 1333 and 1325 is associative
LCM of 1325 and 1333 = LCM of 1333 and 1325
1. What is the LCM of 1325 and 1333?
Answer: LCM of 1325 and 1333 is 1766225.
2. What are the Factors of 1325?
Answer: Factors of 1325 are 1, 5, 25, 53, 265, 1325. There are 6 integers that are factors of 1325. The greatest factor of 1325 is 1325.
3. What are the Factors of 1333?
Answer: Factors of 1333 are 1, 31, 43, 1333. There are 4 integers that are factors of 1333. The greatest factor of 1333 is 1333.
4. How to Find the LCM of 1325 and 1333?
Answer:
Least Common Multiple of 1325 and 1333 = 1766225
Step 1: Find the prime factorization of 1325
1325 = 5 x 5 x 53
Step 2: Find the prime factorization of 1333
1333 = 31 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1766225 = 5 x 5 x 31 x 43 x 53
Step 4: Therefore, the least common multiple of 1325 and 1333 is 1766225.