Least Common Multiple of 10335 and 10343

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

• Least Common Multiple of 10335 and 10343 by Prime method
• Least Common Multiple of 10335 and 10343 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10335 and 10343. First we will calculate the prime factors of 10335 and 10343.

Prime Factorization of 10335

Prime factors of 10335 are 3, 5, 13,53. Prime factorization of 10335 in exponential form is:

10335 = 3¹×5¹×13¹×53¹

Prime Factorization of 10343

Prime factors of 10343 are 10343. Prime factorization of 10343 in exponential form is:

10343 = 10343¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10335 and 10343.

LCM(10335,10343) = 3¹×5¹×13¹×53¹×10343¹
LCM(10335,10343) = 106894905

Factors of 10335

List of positive integer factors of 10335 that divides 10335 without a remainder.

1, 3, 5, 13, 15, 39, 53, 65, 159, 195, 265, 689, 795, 2067, 3445, 10335

Factors of 10343

List of positive integer factors of 10343 that divides 10343 without a remainder.

1, 10343

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10335 and 10343, than apply into the LCM equation.

GCF(10335,10343) = 1
LCM(10335,10343) = ( 10335 × 10343) / 1
LCM(10335,10343) = 106894905 / 1
LCM(10335,10343) = 106894905

(i) The LCM of 10343 and 10335 is associative

LCM of 10335 and 10343 = LCM of 10343 and 10335

1. What is the LCM of 10335 and 10343?

Answer: LCM of 10335 and 10343 is 106894905.

2. What are the Factors of 10335?

Answer: Factors of 10335 are 1, 3, 5, 13, 15, 39, 53, 65, 159, 195, 265, 689, 795, 2067, 3445, 10335. There are 16 integers that are factors of 10335. The greatest factor of 10335 is 10335.

3. What are the Factors of 10343?

Answer: Factors of 10343 are 1, 10343. There are 2 integers that are factors of 10343. The greatest factor of 10343 is 10343.

4. How to Find the LCM of 10335 and 10343?

Answer:

Least Common Multiple of 10335 and 10343 = 106894905

Step 1: Find the prime factorization of 10335

10335 = 3 x 5 x 13 x 53

Step 2: Find the prime factorization of 10343

10343 = 10343

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

LCM = 106894905 = 3 x 5 x 13 x 53 x 10343

Step 4: Therefore, the least common multiple of 10335 and 10343 is 106894905.