Least Common Multiple of 6341 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 6341 and 6348 the smallest integer that is 40252668 that is divisible by both numbers.

Least Common Multiple (LCM) of 6341 and 6348 is 40252668.

LCM(6341,6348) = 40252668

LCM of 6341 and 6348

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

LCM of:
and

Least Common Multiple of 6341 and 6348

LCM of 6341 and 6348 is 40252668

Least common multiple can be found by multiplying the highest exponent prime factors of 6341 and 6348. First we will calculate the prime factors of 6341 and 6348.

Prime Factorization of 6341


17 6341
373 373
1

Prime factors of 6341 are 17,373. Prime factorization of 6341 in exponential form is:

6341 = 171×3731

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 6341 and 6348.

LCM(6341,6348) = 22×31×171×232×3731
LCM(6341,6348) = 40252668

Factors of 6341

List of positive integer factors of 6341 that divides 6341 without a remainder.

1, 17, 373, 6341

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 6341 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 6341 and 6348, than apply into the LCM equation.

GCF(6341,6348) = 1
LCM(6341,6348) = ( 6341 × 6348) / 1
LCM(6341,6348) = 40252668 / 1
LCM(6341,6348) = 40252668

Properties of LCM 6341 and 6348

(i) The LCM of 6348 and 6341 is associative

LCM of 6341 and 6348 = LCM of 6348 and 6341

Related Least Common Multiples of 6341

Related Least Common Multiples of 6348

Frequently Asked Questions on LCM of 6341 and 6348

1. What is the LCM of 6341 and 6348?

Answer: LCM of 6341 and 6348 is 40252668.

2. What are the Factors of 6341?

Answer: Factors of 6341 are 1, 17, 373, 6341. There are 4 integers that are factors of 6341. The greatest factor of 6341 is 6341.

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 6341 and 6348?

Answer:

Least Common Multiple of 6341 and 6348 = 40252668

Step 1: Find the prime factorization of 6341

6341 = 17 x 373

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 = 40252668 = 2 x 2 x 3 x 17 x 23 x 23 x 373

Step 4: Therefore, the least common multiple of 6341 and 6348 is 40252668.