Least Common Multiple of 6334 and 6336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6334 and 6336 the smallest integer that is 20066112 that is divisible by both numbers.

Least Common Multiple (LCM) of 6334 and 6336 is 20066112.

LCM(6334,6336) = 20066112

LCM of 6334 and 6336

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

LCM of:
and

Least Common Multiple of 6334 and 6336

LCM of 6334 and 6336 is 20066112

Least common multiple can be found by multiplying the highest exponent prime factors of 6334 and 6336. First we will calculate the prime factors of 6334 and 6336.

Prime Factorization of 6334


2 6334
3167 3167
1

Prime factors of 6334 are 2,3167. Prime factorization of 6334 in exponential form is:

6334 = 21×31671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6334 and 6336.

LCM(6334,6336) = 26×32×111×31671
LCM(6334,6336) = 20066112

Factors of 6334

List of positive integer factors of 6334 that divides 6334 without a remainder.

1, 2, 3167, 6334

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

Least Common Multiple of 6334 and 6336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6334 and 6336, than apply into the LCM equation.

GCF(6334,6336) = 2
LCM(6334,6336) = ( 6334 × 6336) / 2
LCM(6334,6336) = 40132224 / 2
LCM(6334,6336) = 20066112

Properties of LCM 6334 and 6336

(i) The LCM of 6336 and 6334 is associative

LCM of 6334 and 6336 = LCM of 6336 and 6334

Related Least Common Multiples of 6334

Related Least Common Multiples of 6336

Frequently Asked Questions on LCM of 6334 and 6336

1. What is the LCM of 6334 and 6336?

Answer: LCM of 6334 and 6336 is 20066112.

2. What are the Factors of 6334?

Answer: Factors of 6334 are 1, 2, 3167, 6334. There are 4 integers that are factors of 6334. The greatest factor of 6334 is 6334.

3. 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.

4. How to Find the LCM of 6334 and 6336?

Answer:

Least Common Multiple of 6334 and 6336 = 20066112

Step 1: Find the prime factorization of 6334

6334 = 2 x 3167

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 20066112 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 3167

Step 4: Therefore, the least common multiple of 6334 and 6336 is 20066112.