Least Common Multiple of 1382 and 1387
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1382 and 1387 the smallest integer that is 1916834 that is divisible by both numbers.
Least Common Multiple (LCM) of 1382 and 1387 is 1916834.
LCM(1382,1387) = 1916834
LCM of 1382 and 1387
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1382 and 1387 by Prime method
- Least Common Multiple of 1382 and 1387 with GCF Formula
LCM of 1382 and 1387 is 1916834
Least common multiple can be found by multiplying the highest exponent prime factors of 1382 and 1387. First we will calculate the prime factors of 1382 and 1387.
Prime Factorization of 1382
| 2 | 1382 |
| 691 | 691 |
| 1 |
Prime factors of 1382 are 2,691. Prime factorization of 1382 in exponential form is:
1382 = 21×6911
Prime Factorization of 1387
| 19 | 1387 |
| 73 | 73 |
| 1 |
Prime factors of 1387 are 19,73. Prime factorization of 1387 in exponential form is:
1387 = 191×731
Now multiplying the highest exponent prime factors to calculate the LCM of 1382 and 1387.
LCM(1382,1387) = 21×191×731×6911
LCM(1382,1387) = 1916834
Factors of 1382
List of positive integer factors of 1382 that divides 1382 without a remainder.
1, 2, 691, 1382
Factors of 1387
List of positive integer factors of 1387 that divides 1387 without a remainder.
1, 19, 73, 1387
Least Common Multiple of 1382 and 1387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1382 and 1387, than apply into the LCM equation.
GCF(1382,1387) = 1
LCM(1382,1387) = ( 1382 × 1387) / 1
LCM(1382,1387) = 1916834 / 1
LCM(1382,1387) = 1916834
Properties of LCM 1382 and 1387
(i) The LCM of 1387 and 1382 is associative
LCM of 1382 and 1387 = LCM of 1387 and 1382
Related Least Common Multiples of 1382
Related Least Common Multiples of 1387
Frequently Asked Questions on LCM of 1382 and 1387
1. What is the LCM of 1382 and 1387?
Answer: LCM of 1382 and 1387 is 1916834.
2. What are the Factors of 1382?
Answer: Factors of 1382 are 1, 2, 691, 1382. There are 4 integers that are factors of 1382. The greatest factor of 1382 is 1382.
3. What are the Factors of 1387?
Answer: Factors of 1387 are 1, 19, 73, 1387. There are 4 integers that are factors of 1387. The greatest factor of 1387 is 1387.
4. How to Find the LCM of 1382 and 1387?
Answer:
Least Common Multiple of 1382 and 1387 = 1916834
Step 1: Find the prime factorization of 1382
1382 = 2 x 691
Step 2: Find the prime factorization of 1387
1387 = 19 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1916834 = 2 x 19 x 73 x 691
Step 4: Therefore, the least common multiple of 1382 and 1387 is 1916834.
