Least Common Multiple of 6336 and 6342

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 6342 the smallest integer that is 6697152 that is divisible by both numbers.

Least Common Multiple (LCM) of 6336 and 6342 is 6697152.

LCM(6336,6342) = 6697152

LCM of 6336 and 6342

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

LCM of:
and

Least Common Multiple of 6336 and 6342

LCM of 6336 and 6342 is 6697152

Least common multiple can be found by multiplying the highest exponent prime factors of 6336 and 6342. First we will calculate the prime factors of 6336 and 6342.

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 6342


2 6342
3 3171
7 1057
151 151
1

Prime factors of 6342 are 2, 3, 7,151. Prime factorization of 6342 in exponential form is:

6342 = 21×31×71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 6336 and 6342.

LCM(6336,6342) = 26×32×71×111×1511
LCM(6336,6342) = 6697152

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 6342

List of positive integer factors of 6342 that divides 6342 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342

Least Common Multiple of 6336 and 6342 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 6342, than apply into the LCM equation.

GCF(6336,6342) = 6
LCM(6336,6342) = ( 6336 × 6342) / 6
LCM(6336,6342) = 40182912 / 6
LCM(6336,6342) = 6697152

Properties of LCM 6336 and 6342

(i) The LCM of 6342 and 6336 is associative

LCM of 6336 and 6342 = LCM of 6342 and 6336

Related Least Common Multiples of 6336

Related Least Common Multiples of 6342

Frequently Asked Questions on LCM of 6336 and 6342

1. What is the LCM of 6336 and 6342?

Answer: LCM of 6336 and 6342 is 6697152.

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 6342?

Answer: Factors of 6342 are 1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342. There are 16 integers that are factors of 6342. The greatest factor of 6342 is 6342.

4. How to Find the LCM of 6336 and 6342?

Answer:

Least Common Multiple of 6336 and 6342 = 6697152

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 6342

6342 = 2 x 3 x 7 x 151

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

LCM = 6697152 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 151

Step 4: Therefore, the least common multiple of 6336 and 6342 is 6697152.