Least Common Multiple of 8336 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 8336 and 8342 the smallest integer that is 34769456 that is divisible by both numbers.

Least Common Multiple (LCM) of 8336 and 8342 is 34769456.

LCM(8336,8342) = 34769456

LCM of 8336 and 8342

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

LCM of:
and

Least Common Multiple of 8336 and 8342

LCM of 8336 and 8342 is 34769456

Least common multiple can be found by multiplying the highest exponent prime factors of 8336 and 8342. First we will calculate the prime factors of 8336 and 8342.

Prime Factorization of 8336


2 8336
2 4168
2 2084
2 1042
521 521
1

Prime factors of 8336 are 2,521. Prime factorization of 8336 in exponential form is:

8336 = 24×5211

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 8336 and 8342.

LCM(8336,8342) = 24×431×971×5211
LCM(8336,8342) = 34769456

Factors of 8336

List of positive integer factors of 8336 that divides 8336 without a remainder.

1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336

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 8336 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 8336 and 8342, than apply into the LCM equation.

GCF(8336,8342) = 2
LCM(8336,8342) = ( 8336 × 8342) / 2
LCM(8336,8342) = 69538912 / 2
LCM(8336,8342) = 34769456

Properties of LCM 8336 and 8342

(i) The LCM of 8342 and 8336 is associative

LCM of 8336 and 8342 = LCM of 8342 and 8336

Related Least Common Multiples of 8336

Related Least Common Multiples of 8342

Frequently Asked Questions on LCM of 8336 and 8342

1. What is the LCM of 8336 and 8342?

Answer: LCM of 8336 and 8342 is 34769456.

2. What are the Factors of 8336?

Answer: Factors of 8336 are 1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336. There are 10 integers that are factors of 8336. The greatest factor of 8336 is 8336.

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 8336 and 8342?

Answer:

Least Common Multiple of 8336 and 8342 = 34769456

Step 1: Find the prime factorization of 8336

8336 = 2 x 2 x 2 x 2 x 521

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 = 34769456 = 2 x 2 x 2 x 2 x 43 x 97 x 521

Step 4: Therefore, the least common multiple of 8336 and 8342 is 34769456.