Least Common Multiple of 1343 and 1348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1343 and 1348 the smallest integer that is 1810364 that is divisible by both numbers.

Least Common Multiple (LCM) of 1343 and 1348 is 1810364.

LCM(1343,1348) = 1810364

LCM of 1343 and 1348

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

LCM of:
and

Least Common Multiple of 1343 and 1348

LCM of 1343 and 1348 is 1810364

Least common multiple can be found by multiplying the highest exponent prime factors of 1343 and 1348. First we will calculate the prime factors of 1343 and 1348.

Prime Factorization of 1343


17 1343
79 79
1

Prime factors of 1343 are 17,79. Prime factorization of 1343 in exponential form is:

1343 = 171×791

Prime Factorization of 1348


2 1348
2 674
337 337
1

Prime factors of 1348 are 2,337. Prime factorization of 1348 in exponential form is:

1348 = 22×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 1343 and 1348.

LCM(1343,1348) = 22×171×791×3371
LCM(1343,1348) = 1810364

Factors of 1343

List of positive integer factors of 1343 that divides 1343 without a remainder.

1, 17, 79, 1343

Factors of 1348

List of positive integer factors of 1348 that divides 1348 without a remainder.

1, 2, 4, 337, 674, 1348

Least Common Multiple of 1343 and 1348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1343 and 1348, than apply into the LCM equation.

GCF(1343,1348) = 1
LCM(1343,1348) = ( 1343 × 1348) / 1
LCM(1343,1348) = 1810364 / 1
LCM(1343,1348) = 1810364

Properties of LCM 1343 and 1348

(i) The LCM of 1348 and 1343 is associative

LCM of 1343 and 1348 = LCM of 1348 and 1343

Related Least Common Multiples of 1343

Related Least Common Multiples of 1348

Frequently Asked Questions on LCM of 1343 and 1348

1. What is the LCM of 1343 and 1348?

Answer: LCM of 1343 and 1348 is 1810364.

2. What are the Factors of 1343?

Answer: Factors of 1343 are 1, 17, 79, 1343. There are 4 integers that are factors of 1343. The greatest factor of 1343 is 1343.

3. What are the Factors of 1348?

Answer: Factors of 1348 are 1, 2, 4, 337, 674, 1348. There are 6 integers that are factors of 1348. The greatest factor of 1348 is 1348.

4. How to Find the LCM of 1343 and 1348?

Answer:

Least Common Multiple of 1343 and 1348 = 1810364

Step 1: Find the prime factorization of 1343

1343 = 17 x 79

Step 2: Find the prime factorization of 1348

1348 = 2 x 2 x 337

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1810364 = 2 x 2 x 17 x 79 x 337

Step 4: Therefore, the least common multiple of 1343 and 1348 is 1810364.