Least Common Multiple of 6348 and 6353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6348 and 6353 the smallest integer that is 40328844 that is divisible by both numbers.

Least Common Multiple (LCM) of 6348 and 6353 is 40328844.

LCM(6348,6353) = 40328844

LCM of 6348 and 6353

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

LCM of:
and

Least Common Multiple of 6348 and 6353

LCM of 6348 and 6353 is 40328844

Least common multiple can be found by multiplying the highest exponent prime factors of 6348 and 6353. First we will calculate the prime factors of 6348 and 6353.

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

Prime Factorization of 6353


6353 6353
1

Prime factors of 6353 are 6353. Prime factorization of 6353 in exponential form is:

6353 = 63531

Now multiplying the highest exponent prime factors to calculate the LCM of 6348 and 6353.

LCM(6348,6353) = 22×31×232×63531
LCM(6348,6353) = 40328844

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

Factors of 6353

List of positive integer factors of 6353 that divides 6353 without a remainder.

1, 6353

Least Common Multiple of 6348 and 6353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6348 and 6353, than apply into the LCM equation.

GCF(6348,6353) = 1
LCM(6348,6353) = ( 6348 × 6353) / 1
LCM(6348,6353) = 40328844 / 1
LCM(6348,6353) = 40328844

Properties of LCM 6348 and 6353

(i) The LCM of 6353 and 6348 is associative

LCM of 6348 and 6353 = LCM of 6353 and 6348

Related Least Common Multiples of 6348

Related Least Common Multiples of 6353

Frequently Asked Questions on LCM of 6348 and 6353

1. What is the LCM of 6348 and 6353?

Answer: LCM of 6348 and 6353 is 40328844.

2. 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.

3. What are the Factors of 6353?

Answer: Factors of 6353 are 1, 6353. There are 2 integers that are factors of 6353. The greatest factor of 6353 is 6353.

4. How to Find the LCM of 6348 and 6353?

Answer:

Least Common Multiple of 6348 and 6353 = 40328844

Step 1: Find the prime factorization of 6348

6348 = 2 x 2 x 3 x 23 x 23

Step 2: Find the prime factorization of 6353

6353 = 6353

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

LCM = 40328844 = 2 x 2 x 3 x 23 x 23 x 6353

Step 4: Therefore, the least common multiple of 6348 and 6353 is 40328844.