Least Common Multiple of 6328 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 6328 and 6336 the smallest integer that is 5011776 that is divisible by both numbers.

Least Common Multiple (LCM) of 6328 and 6336 is 5011776.

LCM(6328,6336) = 5011776

LCM of 6328 and 6336

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

LCM of:
and

Least Common Multiple of 6328 and 6336

LCM of 6328 and 6336 is 5011776

Least common multiple can be found by multiplying the highest exponent prime factors of 6328 and 6336. First we will calculate the prime factors of 6328 and 6336.

Prime Factorization of 6328


2 6328
2 3164
2 1582
7 791
113 113
1

Prime factors of 6328 are 2, 7,113. Prime factorization of 6328 in exponential form is:

6328 = 23×71×1131

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 6328 and 6336.

LCM(6328,6336) = 26×32×71×111×1131
LCM(6328,6336) = 5011776

Factors of 6328

List of positive integer factors of 6328 that divides 6328 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 113, 226, 452, 791, 904, 1582, 3164, 6328

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 6328 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 6328 and 6336, than apply into the LCM equation.

GCF(6328,6336) = 8
LCM(6328,6336) = ( 6328 × 6336) / 8
LCM(6328,6336) = 40094208 / 8
LCM(6328,6336) = 5011776

Properties of LCM 6328 and 6336

(i) The LCM of 6336 and 6328 is associative

LCM of 6328 and 6336 = LCM of 6336 and 6328

Related Least Common Multiples of 6328

Related Least Common Multiples of 6336

Frequently Asked Questions on LCM of 6328 and 6336

1. What is the LCM of 6328 and 6336?

Answer: LCM of 6328 and 6336 is 5011776.

2. What are the Factors of 6328?

Answer: Factors of 6328 are 1, 2, 4, 7, 8, 14, 28, 56, 113, 226, 452, 791, 904, 1582, 3164, 6328. There are 16 integers that are factors of 6328. The greatest factor of 6328 is 6328.

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 6328 and 6336?

Answer:

Least Common Multiple of 6328 and 6336 = 5011776

Step 1: Find the prime factorization of 6328

6328 = 2 x 2 x 2 x 7 x 113

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 = 5011776 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 113

Step 4: Therefore, the least common multiple of 6328 and 6336 is 5011776.