Least Common Multiple of 1342 and 1345

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 1345 the smallest integer that is 1804990 that is divisible by both numbers.

Least Common Multiple (LCM) of 1342 and 1345 is 1804990.

LCM(1342,1345) = 1804990

LCM of 1342 and 1345

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

LCM of:
and

Least Common Multiple of 1342 and 1345

LCM of 1342 and 1345 is 1804990

Least common multiple can be found by multiplying the highest exponent prime factors of 1342 and 1345. First we will calculate the prime factors of 1342 and 1345.

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 1345


5 1345
269 269
1

Prime factors of 1345 are 5,269. Prime factorization of 1345 in exponential form is:

1345 = 51×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 1342 and 1345.

LCM(1342,1345) = 21×51×111×611×2691
LCM(1342,1345) = 1804990

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 1345

List of positive integer factors of 1345 that divides 1345 without a remainder.

1, 5, 269, 1345

Least Common Multiple of 1342 and 1345 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 1345, than apply into the LCM equation.

GCF(1342,1345) = 1
LCM(1342,1345) = ( 1342 × 1345) / 1
LCM(1342,1345) = 1804990 / 1
LCM(1342,1345) = 1804990

Properties of LCM 1342 and 1345

(i) The LCM of 1345 and 1342 is associative

LCM of 1342 and 1345 = LCM of 1345 and 1342

Related Least Common Multiples of 1342

Related Least Common Multiples of 1345

Frequently Asked Questions on LCM of 1342 and 1345

1. What is the LCM of 1342 and 1345?

Answer: LCM of 1342 and 1345 is 1804990.

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 1345?

Answer: Factors of 1345 are 1, 5, 269, 1345. There are 4 integers that are factors of 1345. The greatest factor of 1345 is 1345.

4. How to Find the LCM of 1342 and 1345?

Answer:

Least Common Multiple of 1342 and 1345 = 1804990

Step 1: Find the prime factorization of 1342

1342 = 2 x 11 x 61

Step 2: Find the prime factorization of 1345

1345 = 5 x 269

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

LCM = 1804990 = 2 x 5 x 11 x 61 x 269

Step 4: Therefore, the least common multiple of 1342 and 1345 is 1804990.