Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1371 and 1377 the smallest integer that is 629289 that is divisible by both numbers.
Least Common Multiple (LCM) of 1371 and 1377 is 629289.
LCM(1371,1377) = 629289
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1371 and 1377. First we will calculate the prime factors of 1371 and 1377.
Prime Factorization of 1371
3 | 1371 |
457 | 457 |
1 |
Prime factors of 1371 are 3,457. Prime factorization of 1371 in exponential form is:
1371 = 31×4571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1371 and 1377.
LCM(1371,1377) = 34×171×4571
LCM(1371,1377) = 629289
Factors of 1371
List of positive integer factors of 1371 that divides 1371 without a remainder.
1, 3, 457, 1371
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1371 and 1377, than apply into the LCM equation.
GCF(1371,1377) = 3
LCM(1371,1377) = ( 1371 × 1377) / 3
LCM(1371,1377) = 1887867 / 3
LCM(1371,1377) = 629289
(i) The LCM of 1377 and 1371 is associative
LCM of 1371 and 1377 = LCM of 1377 and 1371
1. What is the LCM of 1371 and 1377?
Answer: LCM of 1371 and 1377 is 629289.
2. What are the Factors of 1371?
Answer: Factors of 1371 are 1, 3, 457, 1371. There are 4 integers that are factors of 1371. The greatest factor of 1371 is 1371.
3. 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.
4. How to Find the LCM of 1371 and 1377?
Answer:
Least Common Multiple of 1371 and 1377 = 629289
Step 1: Find the prime factorization of 1371
1371 = 3 x 457
Step 2: Find the prime factorization of 1377
1377 = 3 x 3 x 3 x 3 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 629289 = 3 x 3 x 3 x 3 x 17 x 457
Step 4: Therefore, the least common multiple of 1371 and 1377 is 629289.