Least Common Multiple of 6336 and 6341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6336 and 6341 the smallest integer that is 40176576 that is divisible by both numbers.

Least Common Multiple (LCM) of 6336 and 6341 is 40176576.

LCM(6336,6341) = 40176576

LCM of 6336 and 6341

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

LCM of:
and

Least Common Multiple of 6336 and 6341

LCM of 6336 and 6341 is 40176576

Least common multiple can be found by multiplying the highest exponent prime factors of 6336 and 6341. First we will calculate the prime factors of 6336 and 6341.

Prime Factorization of 6336


2 6336
2 3168
2 1584
2 792
2 396
2 198
3 99
3 33
11 11
1

Prime factors of 6336 are 2, 3,11. Prime factorization of 6336 in exponential form is:

6336 = 26×32×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6336 and 6341.

LCM(6336,6341) = 26×32×111×171×3731
LCM(6336,6341) = 40176576

Factors of 6336

List of positive integer factors of 6336 that divides 6336 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 132, 144, 176, 192, 198, 264, 288, 352, 396, 528, 576, 704, 792, 1056, 1584, 2112, 3168, 6336

Factors of 6341

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

1, 17, 373, 6341

Least Common Multiple of 6336 and 6341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6336 and 6341, than apply into the LCM equation.

GCF(6336,6341) = 1
LCM(6336,6341) = ( 6336 × 6341) / 1
LCM(6336,6341) = 40176576 / 1
LCM(6336,6341) = 40176576

Properties of LCM 6336 and 6341

(i) The LCM of 6341 and 6336 is associative

LCM of 6336 and 6341 = LCM of 6341 and 6336

Related Least Common Multiples of 6336

Related Least Common Multiples of 6341

Frequently Asked Questions on LCM of 6336 and 6341

1. What is the LCM of 6336 and 6341?

Answer: LCM of 6336 and 6341 is 40176576.

2. What are the Factors of 6336?

Answer: Factors of 6336 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 132, 144, 176, 192, 198, 264, 288, 352, 396, 528, 576, 704, 792, 1056, 1584, 2112, 3168, 6336. There are 42 integers that are factors of 6336. The greatest factor of 6336 is 6336.

3. 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.

4. How to Find the LCM of 6336 and 6341?

Answer:

Least Common Multiple of 6336 and 6341 = 40176576

Step 1: Find the prime factorization of 6336

6336 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11

Step 2: Find the prime factorization of 6341

6341 = 17 x 373

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

LCM = 40176576 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 17 x 373

Step 4: Therefore, the least common multiple of 6336 and 6341 is 40176576.