Least Common Multiple of 1394 and 1399
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1394 and 1399 the smallest integer that is 1950206 that is divisible by both numbers.
Least Common Multiple (LCM) of 1394 and 1399 is 1950206.
LCM(1394,1399) = 1950206
LCM of 1394 and 1399
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1394 and 1399 by Prime method
- Least Common Multiple of 1394 and 1399 with GCF Formula
LCM of 1394 and 1399 is 1950206
Least common multiple can be found by multiplying the highest exponent prime factors of 1394 and 1399. First we will calculate the prime factors of 1394 and 1399.
Prime Factorization of 1394
| 2 | 1394 |
| 17 | 697 |
| 41 | 41 |
| 1 |
Prime factors of 1394 are 2, 17,41. Prime factorization of 1394 in exponential form is:
1394 = 21×171×411
Prime Factorization of 1399
| 1399 | 1399 |
| 1 |
Prime factors of 1399 are 1399. Prime factorization of 1399 in exponential form is:
1399 = 13991
Now multiplying the highest exponent prime factors to calculate the LCM of 1394 and 1399.
LCM(1394,1399) = 21×171×411×13991
LCM(1394,1399) = 1950206
Factors of 1394
List of positive integer factors of 1394 that divides 1394 without a remainder.
1, 2, 17, 34, 41, 82, 697, 1394
Factors of 1399
List of positive integer factors of 1399 that divides 1399 without a remainder.
1, 1399
Least Common Multiple of 1394 and 1399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1394 and 1399, than apply into the LCM equation.
GCF(1394,1399) = 1
LCM(1394,1399) = ( 1394 × 1399) / 1
LCM(1394,1399) = 1950206 / 1
LCM(1394,1399) = 1950206
Properties of LCM 1394 and 1399
(i) The LCM of 1399 and 1394 is associative
LCM of 1394 and 1399 = LCM of 1399 and 1394
Related Least Common Multiples of 1394
Related Least Common Multiples of 1399
Frequently Asked Questions on LCM of 1394 and 1399
1. What is the LCM of 1394 and 1399?
Answer: LCM of 1394 and 1399 is 1950206.
2. What are the Factors of 1394?
Answer: Factors of 1394 are 1, 2, 17, 34, 41, 82, 697, 1394. There are 8 integers that are factors of 1394. The greatest factor of 1394 is 1394.
3. What are the Factors of 1399?
Answer: Factors of 1399 are 1, 1399. There are 2 integers that are factors of 1399. The greatest factor of 1399 is 1399.
4. How to Find the LCM of 1394 and 1399?
Answer:
Least Common Multiple of 1394 and 1399 = 1950206
Step 1: Find the prime factorization of 1394
1394 = 2 x 17 x 41
Step 2: Find the prime factorization of 1399
1399 = 1399
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1950206 = 2 x 17 x 41 x 1399
Step 4: Therefore, the least common multiple of 1394 and 1399 is 1950206.