Least Common Multiple of 1377 and 1379
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 1379 the smallest integer that is 1898883 that is divisible by both numbers.
Least Common Multiple (LCM) of 1377 and 1379 is 1898883.
LCM(1377,1379) = 1898883
LCM of 1377 and 1379
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1377 and 1379 by Prime method
- Least Common Multiple of 1377 and 1379 with GCF Formula
LCM of 1377 and 1379 is 1898883
Least common multiple can be found by multiplying the highest exponent prime factors of 1377 and 1379. First we will calculate the prime factors of 1377 and 1379.
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 1379
| 7 | 1379 |
| 197 | 197 |
| 1 |
Prime factors of 1379 are 7,197. Prime factorization of 1379 in exponential form is:
1379 = 71×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 1377 and 1379.
LCM(1377,1379) = 34×71×171×1971
LCM(1377,1379) = 1898883
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 1379
List of positive integer factors of 1379 that divides 1379 without a remainder.
1, 7, 197, 1379
Least Common Multiple of 1377 and 1379 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 1379, than apply into the LCM equation.
GCF(1377,1379) = 1
LCM(1377,1379) = ( 1377 × 1379) / 1
LCM(1377,1379) = 1898883 / 1
LCM(1377,1379) = 1898883
Properties of LCM 1377 and 1379
(i) The LCM of 1379 and 1377 is associative
LCM of 1377 and 1379 = LCM of 1379 and 1377
Related Least Common Multiples of 1377
Related Least Common Multiples of 1379
Frequently Asked Questions on LCM of 1377 and 1379
1. What is the LCM of 1377 and 1379?
Answer: LCM of 1377 and 1379 is 1898883.
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 1379?
Answer: Factors of 1379 are 1, 7, 197, 1379. There are 4 integers that are factors of 1379. The greatest factor of 1379 is 1379.
4. How to Find the LCM of 1377 and 1379?
Answer:
Least Common Multiple of 1377 and 1379 = 1898883
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 1379
1379 = 7 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1898883 = 3 x 3 x 3 x 3 x 7 x 17 x 197
Step 4: Therefore, the least common multiple of 1377 and 1379 is 1898883.