Least Common Multiple of 8335 and 8343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8335 and 8343 the smallest integer that is 69538905 that is divisible by both numbers.

Least Common Multiple (LCM) of 8335 and 8343 is 69538905.

LCM(8335,8343) = 69538905

LCM of 8335 and 8343

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

LCM of:
and

Least Common Multiple of 8335 and 8343

LCM of 8335 and 8343 is 69538905

Least common multiple can be found by multiplying the highest exponent prime factors of 8335 and 8343. First we will calculate the prime factors of 8335 and 8343.

Prime Factorization of 8335


5 8335
1667 1667
1

Prime factors of 8335 are 5,1667. Prime factorization of 8335 in exponential form is:

8335 = 51×16671

Prime Factorization of 8343


3 8343
3 2781
3 927
3 309
103 103
1

Prime factors of 8343 are 3,103. Prime factorization of 8343 in exponential form is:

8343 = 34×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 8335 and 8343.

LCM(8335,8343) = 34×51×1031×16671
LCM(8335,8343) = 69538905

Factors of 8335

List of positive integer factors of 8335 that divides 8335 without a remainder.

1, 5, 1667, 8335

Factors of 8343

List of positive integer factors of 8343 that divides 8343 without a remainder.

1, 3, 9, 27, 81, 103, 309, 927, 2781, 8343

Least Common Multiple of 8335 and 8343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8335 and 8343, than apply into the LCM equation.

GCF(8335,8343) = 1
LCM(8335,8343) = ( 8335 × 8343) / 1
LCM(8335,8343) = 69538905 / 1
LCM(8335,8343) = 69538905

Properties of LCM 8335 and 8343

(i) The LCM of 8343 and 8335 is associative

LCM of 8335 and 8343 = LCM of 8343 and 8335

Related Least Common Multiples of 8335

Related Least Common Multiples of 8343

Frequently Asked Questions on LCM of 8335 and 8343

1. What is the LCM of 8335 and 8343?

Answer: LCM of 8335 and 8343 is 69538905.

2. What are the Factors of 8335?

Answer: Factors of 8335 are 1, 5, 1667, 8335. There are 4 integers that are factors of 8335. The greatest factor of 8335 is 8335.

3. What are the Factors of 8343?

Answer: Factors of 8343 are 1, 3, 9, 27, 81, 103, 309, 927, 2781, 8343. There are 10 integers that are factors of 8343. The greatest factor of 8343 is 8343.

4. How to Find the LCM of 8335 and 8343?

Answer:

Least Common Multiple of 8335 and 8343 = 69538905

Step 1: Find the prime factorization of 8335

8335 = 5 x 1667

Step 2: Find the prime factorization of 8343

8343 = 3 x 3 x 3 x 3 x 103

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

LCM = 69538905 = 3 x 3 x 3 x 3 x 5 x 103 x 1667

Step 4: Therefore, the least common multiple of 8335 and 8343 is 69538905.