Least Common Multiple of 6338 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 6338 and 6346 the smallest integer that is 20110474 that is divisible by both numbers.

Least Common Multiple (LCM) of 6338 and 6346 is 20110474.

LCM(6338,6346) = 20110474

LCM of 6338 and 6346

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

LCM of:
and

Least Common Multiple of 6338 and 6346

LCM of 6338 and 6346 is 20110474

Least common multiple can be found by multiplying the highest exponent prime factors of 6338 and 6346. First we will calculate the prime factors of 6338 and 6346.

Prime Factorization of 6338


2 6338
3169 3169
1

Prime factors of 6338 are 2,3169. Prime factorization of 6338 in exponential form is:

6338 = 21×31691

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 6338 and 6346.

LCM(6338,6346) = 21×191×1671×31691
LCM(6338,6346) = 20110474

Factors of 6338

List of positive integer factors of 6338 that divides 6338 without a remainder.

1, 2, 3169, 6338

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 6338 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 6338 and 6346, than apply into the LCM equation.

GCF(6338,6346) = 2
LCM(6338,6346) = ( 6338 × 6346) / 2
LCM(6338,6346) = 40220948 / 2
LCM(6338,6346) = 20110474

Properties of LCM 6338 and 6346

(i) The LCM of 6346 and 6338 is associative

LCM of 6338 and 6346 = LCM of 6346 and 6338

Related Least Common Multiples of 6338

Related Least Common Multiples of 6346

Frequently Asked Questions on LCM of 6338 and 6346

1. What is the LCM of 6338 and 6346?

Answer: LCM of 6338 and 6346 is 20110474.

2. What are the Factors of 6338?

Answer: Factors of 6338 are 1, 2, 3169, 6338. There are 4 integers that are factors of 6338. The greatest factor of 6338 is 6338.

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 6338 and 6346?

Answer:

Least Common Multiple of 6338 and 6346 = 20110474

Step 1: Find the prime factorization of 6338

6338 = 2 x 3169

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 = 20110474 = 2 x 19 x 167 x 3169

Step 4: Therefore, the least common multiple of 6338 and 6346 is 20110474.