Least Common Multiple of 1342 and 1346

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 1346 the smallest integer that is 903166 that is divisible by both numbers.

Least Common Multiple (LCM) of 1342 and 1346 is 903166.

LCM(1342,1346) = 903166

LCM of 1342 and 1346

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

LCM of:
and

Least Common Multiple of 1342 and 1346

LCM of 1342 and 1346 is 903166

Least common multiple can be found by multiplying the highest exponent prime factors of 1342 and 1346. First we will calculate the prime factors of 1342 and 1346.

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 1346


2 1346
673 673
1

Prime factors of 1346 are 2,673. Prime factorization of 1346 in exponential form is:

1346 = 21×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 1342 and 1346.

LCM(1342,1346) = 21×111×611×6731
LCM(1342,1346) = 903166

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 1346

List of positive integer factors of 1346 that divides 1346 without a remainder.

1, 2, 673, 1346

Least Common Multiple of 1342 and 1346 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 1346, than apply into the LCM equation.

GCF(1342,1346) = 2
LCM(1342,1346) = ( 1342 × 1346) / 2
LCM(1342,1346) = 1806332 / 2
LCM(1342,1346) = 903166

Properties of LCM 1342 and 1346

(i) The LCM of 1346 and 1342 is associative

LCM of 1342 and 1346 = LCM of 1346 and 1342

Related Least Common Multiples of 1342

Related Least Common Multiples of 1346

Frequently Asked Questions on LCM of 1342 and 1346

1. What is the LCM of 1342 and 1346?

Answer: LCM of 1342 and 1346 is 903166.

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 1346?

Answer: Factors of 1346 are 1, 2, 673, 1346. There are 4 integers that are factors of 1346. The greatest factor of 1346 is 1346.

4. How to Find the LCM of 1342 and 1346?

Answer:

Least Common Multiple of 1342 and 1346 = 903166

Step 1: Find the prime factorization of 1342

1342 = 2 x 11 x 61

Step 2: Find the prime factorization of 1346

1346 = 2 x 673

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

LCM = 903166 = 2 x 11 x 61 x 673

Step 4: Therefore, the least common multiple of 1342 and 1346 is 903166.