Least Common Multiple of 6168 and 6171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6168 and 6171 the smallest integer that is 12687576 that is divisible by both numbers.

Least Common Multiple (LCM) of 6168 and 6171 is 12687576.

LCM(6168,6171) = 12687576

LCM of 6168 and 6171

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

LCM of:
and

Least Common Multiple of 6168 and 6171

LCM of 6168 and 6171 is 12687576

Least common multiple can be found by multiplying the highest exponent prime factors of 6168 and 6171. First we will calculate the prime factors of 6168 and 6171.

Prime Factorization of 6168


2 6168
2 3084
2 1542
3 771
257 257
1

Prime factors of 6168 are 2, 3,257. Prime factorization of 6168 in exponential form is:

6168 = 23×31×2571

Prime Factorization of 6171


3 6171
11 2057
11 187
17 17
1

Prime factors of 6171 are 3, 11,17. Prime factorization of 6171 in exponential form is:

6171 = 31×112×171

Now multiplying the highest exponent prime factors to calculate the LCM of 6168 and 6171.

LCM(6168,6171) = 23×31×112×171×2571
LCM(6168,6171) = 12687576

Factors of 6168

List of positive integer factors of 6168 that divides 6168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 257, 514, 771, 1028, 1542, 2056, 3084, 6168

Factors of 6171

List of positive integer factors of 6171 that divides 6171 without a remainder.

1, 3, 11, 17, 33, 51, 121, 187, 363, 561, 2057, 6171

Least Common Multiple of 6168 and 6171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6168 and 6171, than apply into the LCM equation.

GCF(6168,6171) = 3
LCM(6168,6171) = ( 6168 × 6171) / 3
LCM(6168,6171) = 38062728 / 3
LCM(6168,6171) = 12687576

Properties of LCM 6168 and 6171

(i) The LCM of 6171 and 6168 is associative

LCM of 6168 and 6171 = LCM of 6171 and 6168

Related Least Common Multiples of 6168

Related Least Common Multiples of 6171

Frequently Asked Questions on LCM of 6168 and 6171

1. What is the LCM of 6168 and 6171?

Answer: LCM of 6168 and 6171 is 12687576.

2. What are the Factors of 6168?

Answer: Factors of 6168 are 1, 2, 3, 4, 6, 8, 12, 24, 257, 514, 771, 1028, 1542, 2056, 3084, 6168. There are 16 integers that are factors of 6168. The greatest factor of 6168 is 6168.

3. What are the Factors of 6171?

Answer: Factors of 6171 are 1, 3, 11, 17, 33, 51, 121, 187, 363, 561, 2057, 6171. There are 12 integers that are factors of 6171. The greatest factor of 6171 is 6171.

4. How to Find the LCM of 6168 and 6171?

Answer:

Least Common Multiple of 6168 and 6171 = 12687576

Step 1: Find the prime factorization of 6168

6168 = 2 x 2 x 2 x 3 x 257

Step 2: Find the prime factorization of 6171

6171 = 3 x 11 x 11 x 17

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

LCM = 12687576 = 2 x 2 x 2 x 3 x 11 x 11 x 17 x 257

Step 4: Therefore, the least common multiple of 6168 and 6171 is 12687576.