Least Common Multiple of 6346 and 6348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6346 and 6348 the smallest integer that is 20142204 that is divisible by both numbers.

Least Common Multiple (LCM) of 6346 and 6348 is 20142204.

LCM(6346,6348) = 20142204

LCM of 6346 and 6348

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

LCM of:
and

Least Common Multiple of 6346 and 6348

LCM of 6346 and 6348 is 20142204

Least common multiple can be found by multiplying the highest exponent prime factors of 6346 and 6348. First we will calculate the prime factors of 6346 and 6348.

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

Prime Factorization of 6348


2 6348
2 3174
3 1587
23 529
23 23
1

Prime factors of 6348 are 2, 3,23. Prime factorization of 6348 in exponential form is:

6348 = 22×31×232

Now multiplying the highest exponent prime factors to calculate the LCM of 6346 and 6348.

LCM(6346,6348) = 22×31×191×232×1671
LCM(6346,6348) = 20142204

Factors of 6346

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

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

Factors of 6348

List of positive integer factors of 6348 that divides 6348 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 529, 1058, 1587, 2116, 3174, 6348

Least Common Multiple of 6346 and 6348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6346 and 6348, than apply into the LCM equation.

GCF(6346,6348) = 2
LCM(6346,6348) = ( 6346 × 6348) / 2
LCM(6346,6348) = 40284408 / 2
LCM(6346,6348) = 20142204

Properties of LCM 6346 and 6348

(i) The LCM of 6348 and 6346 is associative

LCM of 6346 and 6348 = LCM of 6348 and 6346

Related Least Common Multiples of 6346

Related Least Common Multiples of 6348

Frequently Asked Questions on LCM of 6346 and 6348

1. What is the LCM of 6346 and 6348?

Answer: LCM of 6346 and 6348 is 20142204.

2. 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.

3. What are the Factors of 6348?

Answer: Factors of 6348 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 529, 1058, 1587, 2116, 3174, 6348. There are 18 integers that are factors of 6348. The greatest factor of 6348 is 6348.

4. How to Find the LCM of 6346 and 6348?

Answer:

Least Common Multiple of 6346 and 6348 = 20142204

Step 1: Find the prime factorization of 6346

6346 = 2 x 19 x 167

Step 2: Find the prime factorization of 6348

6348 = 2 x 2 x 3 x 23 x 23

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

LCM = 20142204 = 2 x 2 x 3 x 19 x 23 x 23 x 167

Step 4: Therefore, the least common multiple of 6346 and 6348 is 20142204.