Least Common Multiple of 4342 and 4346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4342 and 4346 the smallest integer that is 9435166 that is divisible by both numbers.

Least Common Multiple (LCM) of 4342 and 4346 is 9435166.

LCM(4342,4346) = 9435166

LCM of 4342 and 4346

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

LCM of:
and

Least Common Multiple of 4342 and 4346

LCM of 4342 and 4346 is 9435166

Least common multiple can be found by multiplying the highest exponent prime factors of 4342 and 4346. First we will calculate the prime factors of 4342 and 4346.

Prime Factorization of 4342


2 4342
13 2171
167 167
1

Prime factors of 4342 are 2, 13,167. Prime factorization of 4342 in exponential form is:

4342 = 21×131×1671

Prime Factorization of 4346


2 4346
41 2173
53 53
1

Prime factors of 4346 are 2, 41,53. Prime factorization of 4346 in exponential form is:

4346 = 21×411×531

Now multiplying the highest exponent prime factors to calculate the LCM of 4342 and 4346.

LCM(4342,4346) = 21×131×411×531×1671
LCM(4342,4346) = 9435166

Factors of 4342

List of positive integer factors of 4342 that divides 4342 without a remainder.

1, 2, 13, 26, 167, 334, 2171, 4342

Factors of 4346

List of positive integer factors of 4346 that divides 4346 without a remainder.

1, 2, 41, 53, 82, 106, 2173, 4346

Least Common Multiple of 4342 and 4346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4342 and 4346, than apply into the LCM equation.

GCF(4342,4346) = 2
LCM(4342,4346) = ( 4342 × 4346) / 2
LCM(4342,4346) = 18870332 / 2
LCM(4342,4346) = 9435166

Properties of LCM 4342 and 4346

(i) The LCM of 4346 and 4342 is associative

LCM of 4342 and 4346 = LCM of 4346 and 4342

Related Least Common Multiples of 4342

Related Least Common Multiples of 4346

Frequently Asked Questions on LCM of 4342 and 4346

1. What is the LCM of 4342 and 4346?

Answer: LCM of 4342 and 4346 is 9435166.

2. What are the Factors of 4342?

Answer: Factors of 4342 are 1, 2, 13, 26, 167, 334, 2171, 4342. There are 8 integers that are factors of 4342. The greatest factor of 4342 is 4342.

3. What are the Factors of 4346?

Answer: Factors of 4346 are 1, 2, 41, 53, 82, 106, 2173, 4346. There are 8 integers that are factors of 4346. The greatest factor of 4346 is 4346.

4. How to Find the LCM of 4342 and 4346?

Answer:

Least Common Multiple of 4342 and 4346 = 9435166

Step 1: Find the prime factorization of 4342

4342 = 2 x 13 x 167

Step 2: Find the prime factorization of 4346

4346 = 2 x 41 x 53

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

LCM = 9435166 = 2 x 13 x 41 x 53 x 167

Step 4: Therefore, the least common multiple of 4342 and 4346 is 9435166.