Least Common Multiple of 1335 and 1343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1335 and 1343 the smallest integer that is 1792905 that is divisible by both numbers.

Least Common Multiple (LCM) of 1335 and 1343 is 1792905.

LCM(1335,1343) = 1792905

LCM of 1335 and 1343

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

LCM of:
and

Least Common Multiple of 1335 and 1343

LCM of 1335 and 1343 is 1792905

Least common multiple can be found by multiplying the highest exponent prime factors of 1335 and 1343. First we will calculate the prime factors of 1335 and 1343.

Prime Factorization of 1335


3 1335
5 445
89 89
1

Prime factors of 1335 are 3, 5,89. Prime factorization of 1335 in exponential form is:

1335 = 31×51×891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1335 and 1343.

LCM(1335,1343) = 31×51×171×791×891
LCM(1335,1343) = 1792905

Factors of 1335

List of positive integer factors of 1335 that divides 1335 without a remainder.

1, 3, 5, 15, 89, 267, 445, 1335

Factors of 1343

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

1, 17, 79, 1343

Least Common Multiple of 1335 and 1343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1335 and 1343, than apply into the LCM equation.

GCF(1335,1343) = 1
LCM(1335,1343) = ( 1335 × 1343) / 1
LCM(1335,1343) = 1792905 / 1
LCM(1335,1343) = 1792905

Properties of LCM 1335 and 1343

(i) The LCM of 1343 and 1335 is associative

LCM of 1335 and 1343 = LCM of 1343 and 1335

Related Least Common Multiples of 1335

Related Least Common Multiples of 1343

Frequently Asked Questions on LCM of 1335 and 1343

1. What is the LCM of 1335 and 1343?

Answer: LCM of 1335 and 1343 is 1792905.

2. What are the Factors of 1335?

Answer: Factors of 1335 are 1, 3, 5, 15, 89, 267, 445, 1335. There are 8 integers that are factors of 1335. The greatest factor of 1335 is 1335.

3. 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.

4. How to Find the LCM of 1335 and 1343?

Answer:

Least Common Multiple of 1335 and 1343 = 1792905

Step 1: Find the prime factorization of 1335

1335 = 3 x 5 x 89

Step 2: Find the prime factorization of 1343

1343 = 17 x 79

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

LCM = 1792905 = 3 x 5 x 17 x 79 x 89

Step 4: Therefore, the least common multiple of 1335 and 1343 is 1792905.