Least Common Multiple of 8335 and 8342

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 8342 the smallest integer that is 69530570 that is divisible by both numbers.

Least Common Multiple (LCM) of 8335 and 8342 is 69530570.

LCM(8335,8342) = 69530570

LCM of 8335 and 8342

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

LCM of:
and

Least Common Multiple of 8335 and 8342

LCM of 8335 and 8342 is 69530570

Least common multiple can be found by multiplying the highest exponent prime factors of 8335 and 8342. First we will calculate the prime factors of 8335 and 8342.

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 8342


2 8342
43 4171
97 97
1

Prime factors of 8342 are 2, 43,97. Prime factorization of 8342 in exponential form is:

8342 = 21×431×971

Now multiplying the highest exponent prime factors to calculate the LCM of 8335 and 8342.

LCM(8335,8342) = 21×51×431×971×16671
LCM(8335,8342) = 69530570

Factors of 8335

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

1, 5, 1667, 8335

Factors of 8342

List of positive integer factors of 8342 that divides 8342 without a remainder.

1, 2, 43, 86, 97, 194, 4171, 8342

Least Common Multiple of 8335 and 8342 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 8342, than apply into the LCM equation.

GCF(8335,8342) = 1
LCM(8335,8342) = ( 8335 × 8342) / 1
LCM(8335,8342) = 69530570 / 1
LCM(8335,8342) = 69530570

Properties of LCM 8335 and 8342

(i) The LCM of 8342 and 8335 is associative

LCM of 8335 and 8342 = LCM of 8342 and 8335

Related Least Common Multiples of 8335

Related Least Common Multiples of 8342

Frequently Asked Questions on LCM of 8335 and 8342

1. What is the LCM of 8335 and 8342?

Answer: LCM of 8335 and 8342 is 69530570.

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 8342?

Answer: Factors of 8342 are 1, 2, 43, 86, 97, 194, 4171, 8342. There are 8 integers that are factors of 8342. The greatest factor of 8342 is 8342.

4. How to Find the LCM of 8335 and 8342?

Answer:

Least Common Multiple of 8335 and 8342 = 69530570

Step 1: Find the prime factorization of 8335

8335 = 5 x 1667

Step 2: Find the prime factorization of 8342

8342 = 2 x 43 x 97

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

LCM = 69530570 = 2 x 5 x 43 x 97 x 1667

Step 4: Therefore, the least common multiple of 8335 and 8342 is 69530570.