Least Common Multiple of 8342 and 8346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8342 and 8346 the smallest integer that is 34811166 that is divisible by both numbers.

Least Common Multiple (LCM) of 8342 and 8346 is 34811166.

LCM(8342,8346) = 34811166

LCM of 8342 and 8346

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

LCM of:
and

Least Common Multiple of 8342 and 8346

LCM of 8342 and 8346 is 34811166

Least common multiple can be found by multiplying the highest exponent prime factors of 8342 and 8346. First we will calculate the prime factors of 8342 and 8346.

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

Prime Factorization of 8346


2 8346
3 4173
13 1391
107 107
1

Prime factors of 8346 are 2, 3, 13,107. Prime factorization of 8346 in exponential form is:

8346 = 21×31×131×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8342 and 8346.

LCM(8342,8346) = 21×31×131×431×971×1071
LCM(8342,8346) = 34811166

Factors of 8342

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

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

Factors of 8346

List of positive integer factors of 8346 that divides 8346 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346

Least Common Multiple of 8342 and 8346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8342 and 8346, than apply into the LCM equation.

GCF(8342,8346) = 2
LCM(8342,8346) = ( 8342 × 8346) / 2
LCM(8342,8346) = 69622332 / 2
LCM(8342,8346) = 34811166

Properties of LCM 8342 and 8346

(i) The LCM of 8346 and 8342 is associative

LCM of 8342 and 8346 = LCM of 8346 and 8342

Related Least Common Multiples of 8342

Related Least Common Multiples of 8346

Frequently Asked Questions on LCM of 8342 and 8346

1. What is the LCM of 8342 and 8346?

Answer: LCM of 8342 and 8346 is 34811166.

2. 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.

3. What are the Factors of 8346?

Answer: Factors of 8346 are 1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346. There are 16 integers that are factors of 8346. The greatest factor of 8346 is 8346.

4. How to Find the LCM of 8342 and 8346?

Answer:

Least Common Multiple of 8342 and 8346 = 34811166

Step 1: Find the prime factorization of 8342

8342 = 2 x 43 x 97

Step 2: Find the prime factorization of 8346

8346 = 2 x 3 x 13 x 107

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

LCM = 34811166 = 2 x 3 x 13 x 43 x 97 x 107

Step 4: Therefore, the least common multiple of 8342 and 8346 is 34811166.