Least Common Multiple of 1364 and 1371

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 1371 the smallest integer that is 1870044 that is divisible by both numbers.

Least Common Multiple (LCM) of 1364 and 1371 is 1870044.

LCM(1364,1371) = 1870044

LCM of 1364 and 1371

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

LCM of:
and

Least Common Multiple of 1364 and 1371

LCM of 1364 and 1371 is 1870044

Least common multiple can be found by multiplying the highest exponent prime factors of 1364 and 1371. First we will calculate the prime factors of 1364 and 1371.

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 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 1364 and 1371.

LCM(1364,1371) = 22×31×111×311×4571
LCM(1364,1371) = 1870044

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 1371

List of positive integer factors of 1371 that divides 1371 without a remainder.

1, 3, 457, 1371

Least Common Multiple of 1364 and 1371 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 1371, than apply into the LCM equation.

GCF(1364,1371) = 1
LCM(1364,1371) = ( 1364 × 1371) / 1
LCM(1364,1371) = 1870044 / 1
LCM(1364,1371) = 1870044

Properties of LCM 1364 and 1371

(i) The LCM of 1371 and 1364 is associative

LCM of 1364 and 1371 = LCM of 1371 and 1364

Related Least Common Multiples of 1364

Related Least Common Multiples of 1371

Frequently Asked Questions on LCM of 1364 and 1371

1. What is the LCM of 1364 and 1371?

Answer: LCM of 1364 and 1371 is 1870044.

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 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 1364 and 1371?

Answer:

Least Common Multiple of 1364 and 1371 = 1870044

Step 1: Find the prime factorization of 1364

1364 = 2 x 2 x 11 x 31

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 = 1870044 = 2 x 2 x 3 x 11 x 31 x 457

Step 4: Therefore, the least common multiple of 1364 and 1371 is 1870044.