Least Common Multiple of 1377 and 1385
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1377 and 1385 the smallest integer that is 1907145 that is divisible by both numbers.
Least Common Multiple (LCM) of 1377 and 1385 is 1907145.
LCM(1377,1385) = 1907145
LCM of 1377 and 1385
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1377 and 1385 by Prime method
- Least Common Multiple of 1377 and 1385 with GCF Formula
LCM of 1377 and 1385 is 1907145
Least common multiple can be found by multiplying the highest exponent prime factors of 1377 and 1385. First we will calculate the prime factors of 1377 and 1385.
Prime Factorization of 1377
| 3 | 1377 |
| 3 | 459 |
| 3 | 153 |
| 3 | 51 |
| 17 | 17 |
| 1 |
Prime factors of 1377 are 3,17. Prime factorization of 1377 in exponential form is:
1377 = 34×171
Prime Factorization of 1385
| 5 | 1385 |
| 277 | 277 |
| 1 |
Prime factors of 1385 are 5,277. Prime factorization of 1385 in exponential form is:
1385 = 51×2771
Now multiplying the highest exponent prime factors to calculate the LCM of 1377 and 1385.
LCM(1377,1385) = 34×51×171×2771
LCM(1377,1385) = 1907145
Factors of 1377
List of positive integer factors of 1377 that divides 1377 without a remainder.
1, 3, 9, 17, 27, 51, 81, 153, 459, 1377
Factors of 1385
List of positive integer factors of 1385 that divides 1385 without a remainder.
1, 5, 277, 1385
Least Common Multiple of 1377 and 1385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1377 and 1385, than apply into the LCM equation.
GCF(1377,1385) = 1
LCM(1377,1385) = ( 1377 × 1385) / 1
LCM(1377,1385) = 1907145 / 1
LCM(1377,1385) = 1907145
Properties of LCM 1377 and 1385
(i) The LCM of 1385 and 1377 is associative
LCM of 1377 and 1385 = LCM of 1385 and 1377
Related Least Common Multiples of 1377
Related Least Common Multiples of 1385
Frequently Asked Questions on LCM of 1377 and 1385
1. What is the LCM of 1377 and 1385?
Answer: LCM of 1377 and 1385 is 1907145.
2. What are the Factors of 1377?
Answer: Factors of 1377 are 1, 3, 9, 17, 27, 51, 81, 153, 459, 1377. There are 10 integers that are factors of 1377. The greatest factor of 1377 is 1377.
3. What are the Factors of 1385?
Answer: Factors of 1385 are 1, 5, 277, 1385. There are 4 integers that are factors of 1385. The greatest factor of 1385 is 1385.
4. How to Find the LCM of 1377 and 1385?
Answer:
Least Common Multiple of 1377 and 1385 = 1907145
Step 1: Find the prime factorization of 1377
1377 = 3 x 3 x 3 x 3 x 17
Step 2: Find the prime factorization of 1385
1385 = 5 x 277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1907145 = 3 x 3 x 3 x 3 x 5 x 17 x 277
Step 4: Therefore, the least common multiple of 1377 and 1385 is 1907145.