Least Common Multiple of 1364 and 1369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1364 and 1369 the smallest integer that is 1867316 that is divisible by both numbers.

Least Common Multiple (LCM) of 1364 and 1369 is 1867316.

LCM(1364,1369) = 1867316

LCM of 1364 and 1369

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1364 and 1369

LCM of 1364 and 1369 is 1867316

Least common multiple can be found by multiplying the highest exponent prime factors of 1364 and 1369. First we will calculate the prime factors of 1364 and 1369.

Prime Factorization of 1364


2 1364
2 682
11 341
31 31
1

Prime factors of 1364 are 2, 11,31. Prime factorization of 1364 in exponential form is:

1364 = 22×111×311

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 1364 and 1369.

LCM(1364,1369) = 22×111×311×372
LCM(1364,1369) = 1867316

Factors of 1364

List of positive integer factors of 1364 that divides 1364 without a remainder.

1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364

Factors of 1369

List of positive integer factors of 1369 that divides 1369 without a remainder.

1, 37, 1369

Least Common Multiple of 1364 and 1369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1364 and 1369, than apply into the LCM equation.

GCF(1364,1369) = 1
LCM(1364,1369) = ( 1364 × 1369) / 1
LCM(1364,1369) = 1867316 / 1
LCM(1364,1369) = 1867316

Properties of LCM 1364 and 1369

(i) The LCM of 1369 and 1364 is associative

LCM of 1364 and 1369 = LCM of 1369 and 1364

Related Least Common Multiples of 1364

Related Least Common Multiples of 1369

Frequently Asked Questions on LCM of 1364 and 1369

1. What is the LCM of 1364 and 1369?

Answer: LCM of 1364 and 1369 is 1867316.

2. What are the Factors of 1364?

Answer: Factors of 1364 are 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364. There are 12 integers that are factors of 1364. The greatest factor of 1364 is 1364.

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 1364 and 1369?

Answer:

Least Common Multiple of 1364 and 1369 = 1867316

Step 1: Find the prime factorization of 1364

1364 = 2 x 2 x 11 x 31

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 = 1867316 = 2 x 2 x 11 x 31 x 37 x 37

Step 4: Therefore, the least common multiple of 1364 and 1369 is 1867316.