Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1367 and 1369 the smallest integer that is 1871423 that is divisible by both numbers.
Least Common Multiple (LCM) of 1367 and 1369 is 1871423.
LCM(1367,1369) = 1871423
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 1367 and 1369. First we will calculate the prime factors of 1367 and 1369.
Prime Factorization of 1367
1367 | 1367 |
1 |
Prime factors of 1367 are 1367. Prime factorization of 1367 in exponential form is:
1367 = 13671
Prime Factorization of 1369
37 | 1369 |
37 | 37 |
1 |
Prime factors of 1369 are 37. Prime factorization of 1369 in exponential form is:
1369 = 372
Now multiplying the highest exponent prime factors to calculate the LCM of 1367 and 1369.
LCM(1367,1369) = 372×13671
LCM(1367,1369) = 1871423
Factors of 1367
List of positive integer factors of 1367 that divides 1367 without a remainder.
1, 1367
Factors of 1369
List of positive integer factors of 1369 that divides 1369 without a remainder.
1, 37, 1369
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1367 and 1369, than apply into the LCM equation.
GCF(1367,1369) = 1
LCM(1367,1369) = ( 1367 × 1369) / 1
LCM(1367,1369) = 1871423 / 1
LCM(1367,1369) = 1871423
(i) The LCM of 1369 and 1367 is associative
LCM of 1367 and 1369 = LCM of 1369 and 1367
1. What is the LCM of 1367 and 1369?
Answer: LCM of 1367 and 1369 is 1871423.
2. What are the Factors of 1367?
Answer: Factors of 1367 are 1, 1367. There are 2 integers that are factors of 1367. The greatest factor of 1367 is 1367.
3. What are the Factors of 1369?
Answer: Factors of 1369 are 1, 37, 1369. There are 3 integers that are factors of 1369. The greatest factor of 1369 is 1369.
4. How to Find the LCM of 1367 and 1369?
Answer:
Least Common Multiple of 1367 and 1369 = 1871423
Step 1: Find the prime factorization of 1367
1367 = 1367
Step 2: Find the prime factorization of 1369
1369 = 37 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1871423 = 37 x 37 x 1367
Step 4: Therefore, the least common multiple of 1367 and 1369 is 1871423.