Least Common Multiple of 1383 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 1383 and 1387 the smallest integer that is 1918221 that is divisible by both numbers.
Least Common Multiple (LCM) of 1383 and 1387 is 1918221.
LCM(1383,1387) = 1918221
LCM of 1383 and 1387
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1383 and 1387 by Prime method
- Least Common Multiple of 1383 and 1387 with GCF Formula
LCM of 1383 and 1387 is 1918221
Least common multiple can be found by multiplying the highest exponent prime factors of 1383 and 1387. First we will calculate the prime factors of 1383 and 1387.
Prime Factorization of 1383
| 3 | 1383 |
| 461 | 461 |
| 1 |
Prime factors of 1383 are 3,461. Prime factorization of 1383 in exponential form is:
1383 = 31×4611
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 1383 and 1387.
LCM(1383,1387) = 31×191×731×4611
LCM(1383,1387) = 1918221
Factors of 1383
List of positive integer factors of 1383 that divides 1383 without a remainder.
1, 3, 461, 1383
Factors of 1387
List of positive integer factors of 1387 that divides 1387 without a remainder.
1, 19, 73, 1387
Least Common Multiple of 1383 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 1383 and 1387, than apply into the LCM equation.
GCF(1383,1387) = 1
LCM(1383,1387) = ( 1383 × 1387) / 1
LCM(1383,1387) = 1918221 / 1
LCM(1383,1387) = 1918221
Properties of LCM 1383 and 1387
(i) The LCM of 1387 and 1383 is associative
LCM of 1383 and 1387 = LCM of 1387 and 1383
Related Least Common Multiples of 1383
Related Least Common Multiples of 1387
Frequently Asked Questions on LCM of 1383 and 1387
1. What is the LCM of 1383 and 1387?
Answer: LCM of 1383 and 1387 is 1918221.
2. What are the Factors of 1383?
Answer: Factors of 1383 are 1, 3, 461, 1383. There are 4 integers that are factors of 1383. The greatest factor of 1383 is 1383.
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 1383 and 1387?
Answer:
Least Common Multiple of 1383 and 1387 = 1918221
Step 1: Find the prime factorization of 1383
1383 = 3 x 461
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 = 1918221 = 3 x 19 x 73 x 461
Step 4: Therefore, the least common multiple of 1383 and 1387 is 1918221.