Least Common Multiple of 1381 and 1386
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1381 and 1386 the smallest integer that is 1914066 that is divisible by both numbers.
Least Common Multiple (LCM) of 1381 and 1386 is 1914066.
LCM(1381,1386) = 1914066
LCM of 1381 and 1386
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1381 and 1386 by Prime method
- Least Common Multiple of 1381 and 1386 with GCF Formula
LCM of 1381 and 1386 is 1914066
Least common multiple can be found by multiplying the highest exponent prime factors of 1381 and 1386. First we will calculate the prime factors of 1381 and 1386.
Prime Factorization of 1381
| 1381 | 1381 |
| 1 |
Prime factors of 1381 are 1381. Prime factorization of 1381 in exponential form is:
1381 = 13811
Prime Factorization of 1386
| 2 | 1386 |
| 3 | 693 |
| 3 | 231 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 1386 are 2, 3, 7,11. Prime factorization of 1386 in exponential form is:
1386 = 21×32×71×111
Now multiplying the highest exponent prime factors to calculate the LCM of 1381 and 1386.
LCM(1381,1386) = 21×32×71×111×13811
LCM(1381,1386) = 1914066
Factors of 1381
List of positive integer factors of 1381 that divides 1381 without a remainder.
1, 1381
Factors of 1386
List of positive integer factors of 1386 that divides 1386 without a remainder.
1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, 1386
Least Common Multiple of 1381 and 1386 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1381 and 1386, than apply into the LCM equation.
GCF(1381,1386) = 1
LCM(1381,1386) = ( 1381 × 1386) / 1
LCM(1381,1386) = 1914066 / 1
LCM(1381,1386) = 1914066
Properties of LCM 1381 and 1386
(i) The LCM of 1386 and 1381 is associative
LCM of 1381 and 1386 = LCM of 1386 and 1381
Related Least Common Multiples of 1381
Related Least Common Multiples of 1386
Frequently Asked Questions on LCM of 1381 and 1386
1. What is the LCM of 1381 and 1386?
Answer: LCM of 1381 and 1386 is 1914066.
2. What are the Factors of 1381?
Answer: Factors of 1381 are 1, 1381. There are 2 integers that are factors of 1381. The greatest factor of 1381 is 1381.
3. What are the Factors of 1386?
Answer: Factors of 1386 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, 1386. There are 24 integers that are factors of 1386. The greatest factor of 1386 is 1386.
4. How to Find the LCM of 1381 and 1386?
Answer:
Least Common Multiple of 1381 and 1386 = 1914066
Step 1: Find the prime factorization of 1381
1381 = 1381
Step 2: Find the prime factorization of 1386
1386 = 2 x 3 x 3 x 7 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1914066 = 2 x 3 x 3 x 7 x 11 x 1381
Step 4: Therefore, the least common multiple of 1381 and 1386 is 1914066.