Least Common Multiple of 6284 and 6288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6284 and 6288 the smallest integer that is 9878448 that is divisible by both numbers.

Least Common Multiple (LCM) of 6284 and 6288 is 9878448.

LCM(6284,6288) = 9878448

LCM of 6284 and 6288

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

LCM of:
and

Least Common Multiple of 6284 and 6288

LCM of 6284 and 6288 is 9878448

Least common multiple can be found by multiplying the highest exponent prime factors of 6284 and 6288. First we will calculate the prime factors of 6284 and 6288.

Prime Factorization of 6284


2 6284
2 3142
1571 1571
1

Prime factors of 6284 are 2,1571. Prime factorization of 6284 in exponential form is:

6284 = 22×15711

Prime Factorization of 6288


2 6288
2 3144
2 1572
2 786
3 393
131 131
1

Prime factors of 6288 are 2, 3,131. Prime factorization of 6288 in exponential form is:

6288 = 24×31×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 6284 and 6288.

LCM(6284,6288) = 24×31×1311×15711
LCM(6284,6288) = 9878448

Factors of 6284

List of positive integer factors of 6284 that divides 6284 without a remainder.

1, 2, 4, 1571, 3142, 6284

Factors of 6288

List of positive integer factors of 6288 that divides 6288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 6288

Least Common Multiple of 6284 and 6288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6284 and 6288, than apply into the LCM equation.

GCF(6284,6288) = 4
LCM(6284,6288) = ( 6284 × 6288) / 4
LCM(6284,6288) = 39513792 / 4
LCM(6284,6288) = 9878448

Properties of LCM 6284 and 6288

(i) The LCM of 6288 and 6284 is associative

LCM of 6284 and 6288 = LCM of 6288 and 6284

Related Least Common Multiples of 6284

Related Least Common Multiples of 6288

Frequently Asked Questions on LCM of 6284 and 6288

1. What is the LCM of 6284 and 6288?

Answer: LCM of 6284 and 6288 is 9878448.

2. What are the Factors of 6284?

Answer: Factors of 6284 are 1, 2, 4, 1571, 3142, 6284. There are 6 integers that are factors of 6284. The greatest factor of 6284 is 6284.

3. What are the Factors of 6288?

Answer: Factors of 6288 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 6288. There are 20 integers that are factors of 6288. The greatest factor of 6288 is 6288.

4. How to Find the LCM of 6284 and 6288?

Answer:

Least Common Multiple of 6284 and 6288 = 9878448

Step 1: Find the prime factorization of 6284

6284 = 2 x 2 x 1571

Step 2: Find the prime factorization of 6288

6288 = 2 x 2 x 2 x 2 x 3 x 131

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

LCM = 9878448 = 2 x 2 x 2 x 2 x 3 x 131 x 1571

Step 4: Therefore, the least common multiple of 6284 and 6288 is 9878448.