Least Common Multiple of 6288 and 6295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6288 and 6295 the smallest integer that is 39582960 that is divisible by both numbers.

Least Common Multiple (LCM) of 6288 and 6295 is 39582960.

LCM(6288,6295) = 39582960

LCM of 6288 and 6295

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

LCM of:
and

Least Common Multiple of 6288 and 6295

LCM of 6288 and 6295 is 39582960

Least common multiple can be found by multiplying the highest exponent prime factors of 6288 and 6295. First we will calculate the prime factors of 6288 and 6295.

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

Prime Factorization of 6295


5 6295
1259 1259
1

Prime factors of 6295 are 5,1259. Prime factorization of 6295 in exponential form is:

6295 = 51×12591

Now multiplying the highest exponent prime factors to calculate the LCM of 6288 and 6295.

LCM(6288,6295) = 24×31×51×1311×12591
LCM(6288,6295) = 39582960

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

Factors of 6295

List of positive integer factors of 6295 that divides 6295 without a remainder.

1, 5, 1259, 6295

Least Common Multiple of 6288 and 6295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6288 and 6295, than apply into the LCM equation.

GCF(6288,6295) = 1
LCM(6288,6295) = ( 6288 × 6295) / 1
LCM(6288,6295) = 39582960 / 1
LCM(6288,6295) = 39582960

Properties of LCM 6288 and 6295

(i) The LCM of 6295 and 6288 is associative

LCM of 6288 and 6295 = LCM of 6295 and 6288

Related Least Common Multiples of 6288

Related Least Common Multiples of 6295

Frequently Asked Questions on LCM of 6288 and 6295

1. What is the LCM of 6288 and 6295?

Answer: LCM of 6288 and 6295 is 39582960.

2. 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.

3. What are the Factors of 6295?

Answer: Factors of 6295 are 1, 5, 1259, 6295. There are 4 integers that are factors of 6295. The greatest factor of 6295 is 6295.

4. How to Find the LCM of 6288 and 6295?

Answer:

Least Common Multiple of 6288 and 6295 = 39582960

Step 1: Find the prime factorization of 6288

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

Step 2: Find the prime factorization of 6295

6295 = 5 x 1259

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

LCM = 39582960 = 2 x 2 x 2 x 2 x 3 x 5 x 131 x 1259

Step 4: Therefore, the least common multiple of 6288 and 6295 is 39582960.