Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1363 and 1371 the smallest integer that is 1868673 that is divisible by both numbers.
Least Common Multiple (LCM) of 1363 and 1371 is 1868673.
LCM(1363,1371) = 1868673
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 1363 and 1371. First we will calculate the prime factors of 1363 and 1371.
Prime Factorization of 1363
29 | 1363 |
47 | 47 |
1 |
Prime factors of 1363 are 29,47. Prime factorization of 1363 in exponential form is:
1363 = 291×471
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1363 and 1371.
LCM(1363,1371) = 31×291×471×4571
LCM(1363,1371) = 1868673
Factors of 1363
List of positive integer factors of 1363 that divides 1363 without a remainder.
1, 29, 47, 1363
Factors of 1371
List of positive integer factors of 1371 that divides 1371 without a remainder.
1, 3, 457, 1371
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1363 and 1371, than apply into the LCM equation.
GCF(1363,1371) = 1
LCM(1363,1371) = ( 1363 × 1371) / 1
LCM(1363,1371) = 1868673 / 1
LCM(1363,1371) = 1868673
(i) The LCM of 1371 and 1363 is associative
LCM of 1363 and 1371 = LCM of 1371 and 1363
1. What is the LCM of 1363 and 1371?
Answer: LCM of 1363 and 1371 is 1868673.
2. What are the Factors of 1363?
Answer: Factors of 1363 are 1, 29, 47, 1363. There are 4 integers that are factors of 1363. The greatest factor of 1363 is 1363.
3. 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.
4. How to Find the LCM of 1363 and 1371?
Answer:
Least Common Multiple of 1363 and 1371 = 1868673
Step 1: Find the prime factorization of 1363
1363 = 29 x 47
Step 2: Find the prime factorization of 1371
1371 = 3 x 457
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1868673 = 3 x 29 x 47 x 457
Step 4: Therefore, the least common multiple of 1363 and 1371 is 1868673.