Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1389 and 1397 the smallest integer that is 1940433 that is divisible by both numbers.
Least Common Multiple (LCM) of 1389 and 1397 is 1940433.
LCM(1389,1397) = 1940433
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 1389 and 1397. First we will calculate the prime factors of 1389 and 1397.
Prime Factorization of 1389
3 | 1389 |
463 | 463 |
1 |
Prime factors of 1389 are 3,463. Prime factorization of 1389 in exponential form is:
1389 = 31×4631
Prime Factorization of 1397
11 | 1397 |
127 | 127 |
1 |
Prime factors of 1397 are 11,127. Prime factorization of 1397 in exponential form is:
1397 = 111×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 1389 and 1397.
LCM(1389,1397) = 31×111×1271×4631
LCM(1389,1397) = 1940433
Factors of 1389
List of positive integer factors of 1389 that divides 1389 without a remainder.
1, 3, 463, 1389
Factors of 1397
List of positive integer factors of 1397 that divides 1397 without a remainder.
1, 11, 127, 1397
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1389 and 1397, than apply into the LCM equation.
GCF(1389,1397) = 1
LCM(1389,1397) = ( 1389 × 1397) / 1
LCM(1389,1397) = 1940433 / 1
LCM(1389,1397) = 1940433
(i) The LCM of 1397 and 1389 is associative
LCM of 1389 and 1397 = LCM of 1397 and 1389
1. What is the LCM of 1389 and 1397?
Answer: LCM of 1389 and 1397 is 1940433.
2. What are the Factors of 1389?
Answer: Factors of 1389 are 1, 3, 463, 1389. There are 4 integers that are factors of 1389. The greatest factor of 1389 is 1389.
3. What are the Factors of 1397?
Answer: Factors of 1397 are 1, 11, 127, 1397. There are 4 integers that are factors of 1397. The greatest factor of 1397 is 1397.
4. How to Find the LCM of 1389 and 1397?
Answer:
Least Common Multiple of 1389 and 1397 = 1940433
Step 1: Find the prime factorization of 1389
1389 = 3 x 463
Step 2: Find the prime factorization of 1397
1397 = 11 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1940433 = 3 x 11 x 127 x 463
Step 4: Therefore, the least common multiple of 1389 and 1397 is 1940433.