Least Common Multiple of 6342 and 6346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6342 and 6346 the smallest integer that is 20123166 that is divisible by both numbers.

Least Common Multiple (LCM) of 6342 and 6346 is 20123166.

LCM(6342,6346) = 20123166

LCM of 6342 and 6346

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

LCM of:
and

Least Common Multiple of 6342 and 6346

LCM of 6342 and 6346 is 20123166

Least common multiple can be found by multiplying the highest exponent prime factors of 6342 and 6346. First we will calculate the prime factors of 6342 and 6346.

Prime Factorization of 6342


2 6342
3 3171
7 1057
151 151
1

Prime factors of 6342 are 2, 3, 7,151. Prime factorization of 6342 in exponential form is:

6342 = 21×31×71×1511

Prime Factorization of 6346


2 6346
19 3173
167 167
1

Prime factors of 6346 are 2, 19,167. Prime factorization of 6346 in exponential form is:

6346 = 21×191×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 6342 and 6346.

LCM(6342,6346) = 21×31×71×191×1511×1671
LCM(6342,6346) = 20123166

Factors of 6342

List of positive integer factors of 6342 that divides 6342 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342

Factors of 6346

List of positive integer factors of 6346 that divides 6346 without a remainder.

1, 2, 19, 38, 167, 334, 3173, 6346

Least Common Multiple of 6342 and 6346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6342 and 6346, than apply into the LCM equation.

GCF(6342,6346) = 2
LCM(6342,6346) = ( 6342 × 6346) / 2
LCM(6342,6346) = 40246332 / 2
LCM(6342,6346) = 20123166

Properties of LCM 6342 and 6346

(i) The LCM of 6346 and 6342 is associative

LCM of 6342 and 6346 = LCM of 6346 and 6342

Related Least Common Multiples of 6342

Related Least Common Multiples of 6346

Frequently Asked Questions on LCM of 6342 and 6346

1. What is the LCM of 6342 and 6346?

Answer: LCM of 6342 and 6346 is 20123166.

2. What are the Factors of 6342?

Answer: Factors of 6342 are 1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342. There are 16 integers that are factors of 6342. The greatest factor of 6342 is 6342.

3. What are the Factors of 6346?

Answer: Factors of 6346 are 1, 2, 19, 38, 167, 334, 3173, 6346. There are 8 integers that are factors of 6346. The greatest factor of 6346 is 6346.

4. How to Find the LCM of 6342 and 6346?

Answer:

Least Common Multiple of 6342 and 6346 = 20123166

Step 1: Find the prime factorization of 6342

6342 = 2 x 3 x 7 x 151

Step 2: Find the prime factorization of 6346

6346 = 2 x 19 x 167

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

LCM = 20123166 = 2 x 3 x 7 x 19 x 151 x 167

Step 4: Therefore, the least common multiple of 6342 and 6346 is 20123166.