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 1372 the smallest integer that is 1881012 that is divisible by both numbers.
Least Common Multiple (LCM) of 1371 and 1372 is 1881012.
LCM(1371,1372) = 1881012
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 1372. First we will calculate the prime factors of 1371 and 1372.
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 1372
2 | 1372 |
2 | 686 |
7 | 343 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 1372 are 2,7. Prime factorization of 1372 in exponential form is:
1372 = 22×73
Now multiplying the highest exponent prime factors to calculate the LCM of 1371 and 1372.
LCM(1371,1372) = 22×31×73×4571
LCM(1371,1372) = 1881012
Factors of 1371
List of positive integer factors of 1371 that divides 1371 without a remainder.
1, 3, 457, 1371
Factors of 1372
List of positive integer factors of 1372 that divides 1372 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1371 and 1372, than apply into the LCM equation.
GCF(1371,1372) = 1
LCM(1371,1372) = ( 1371 × 1372) / 1
LCM(1371,1372) = 1881012 / 1
LCM(1371,1372) = 1881012
(i) The LCM of 1372 and 1371 is associative
LCM of 1371 and 1372 = LCM of 1372 and 1371
1. What is the LCM of 1371 and 1372?
Answer: LCM of 1371 and 1372 is 1881012.
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 1372?
Answer: Factors of 1372 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372. There are 12 integers that are factors of 1372. The greatest factor of 1372 is 1372.
4. How to Find the LCM of 1371 and 1372?
Answer:
Least Common Multiple of 1371 and 1372 = 1881012
Step 1: Find the prime factorization of 1371
1371 = 3 x 457
Step 2: Find the prime factorization of 1372
1372 = 2 x 2 x 7 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1881012 = 2 x 2 x 3 x 7 x 7 x 7 x 457
Step 4: Therefore, the least common multiple of 1371 and 1372 is 1881012.