Least Common Multiple of 1342 and 1347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1342 and 1347 the smallest integer that is 1807674 that is divisible by both numbers.

Least Common Multiple (LCM) of 1342 and 1347 is 1807674.

LCM(1342,1347) = 1807674

LCM of 1342 and 1347

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

LCM of:
and

Least Common Multiple of 1342 and 1347

LCM of 1342 and 1347 is 1807674

Least common multiple can be found by multiplying the highest exponent prime factors of 1342 and 1347. First we will calculate the prime factors of 1342 and 1347.

Prime Factorization of 1342


2 1342
11 671
61 61
1

Prime factors of 1342 are 2, 11,61. Prime factorization of 1342 in exponential form is:

1342 = 21×111×611

Prime Factorization of 1347


3 1347
449 449
1

Prime factors of 1347 are 3,449. Prime factorization of 1347 in exponential form is:

1347 = 31×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 1342 and 1347.

LCM(1342,1347) = 21×31×111×611×4491
LCM(1342,1347) = 1807674

Factors of 1342

List of positive integer factors of 1342 that divides 1342 without a remainder.

1, 2, 11, 22, 61, 122, 671, 1342

Factors of 1347

List of positive integer factors of 1347 that divides 1347 without a remainder.

1, 3, 449, 1347

Least Common Multiple of 1342 and 1347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1342 and 1347, than apply into the LCM equation.

GCF(1342,1347) = 1
LCM(1342,1347) = ( 1342 × 1347) / 1
LCM(1342,1347) = 1807674 / 1
LCM(1342,1347) = 1807674

Properties of LCM 1342 and 1347

(i) The LCM of 1347 and 1342 is associative

LCM of 1342 and 1347 = LCM of 1347 and 1342

Related Least Common Multiples of 1342

Related Least Common Multiples of 1347

Frequently Asked Questions on LCM of 1342 and 1347

1. What is the LCM of 1342 and 1347?

Answer: LCM of 1342 and 1347 is 1807674.

2. What are the Factors of 1342?

Answer: Factors of 1342 are 1, 2, 11, 22, 61, 122, 671, 1342. There are 8 integers that are factors of 1342. The greatest factor of 1342 is 1342.

3. What are the Factors of 1347?

Answer: Factors of 1347 are 1, 3, 449, 1347. There are 4 integers that are factors of 1347. The greatest factor of 1347 is 1347.

4. How to Find the LCM of 1342 and 1347?

Answer:

Least Common Multiple of 1342 and 1347 = 1807674

Step 1: Find the prime factorization of 1342

1342 = 2 x 11 x 61

Step 2: Find the prime factorization of 1347

1347 = 3 x 449

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

LCM = 1807674 = 2 x 3 x 11 x 61 x 449

Step 4: Therefore, the least common multiple of 1342 and 1347 is 1807674.