Least Common Multiple of 6168 and 6175

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 6175 the smallest integer that is 38087400 that is divisible by both numbers.

Least Common Multiple (LCM) of 6168 and 6175 is 38087400.

LCM(6168,6175) = 38087400

LCM of 6168 and 6175

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

LCM of:
and

Least Common Multiple of 6168 and 6175

LCM of 6168 and 6175 is 38087400

Least common multiple can be found by multiplying the highest exponent prime factors of 6168 and 6175. First we will calculate the prime factors of 6168 and 6175.

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 6175


5 6175
5 1235
13 247
19 19
1

Prime factors of 6175 are 5, 13,19. Prime factorization of 6175 in exponential form is:

6175 = 52×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 6168 and 6175.

LCM(6168,6175) = 23×31×52×131×191×2571
LCM(6168,6175) = 38087400

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 6175

List of positive integer factors of 6175 that divides 6175 without a remainder.

1, 5, 13, 19, 25, 65, 95, 247, 325, 475, 1235, 6175

Least Common Multiple of 6168 and 6175 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 6175, than apply into the LCM equation.

GCF(6168,6175) = 1
LCM(6168,6175) = ( 6168 × 6175) / 1
LCM(6168,6175) = 38087400 / 1
LCM(6168,6175) = 38087400

Properties of LCM 6168 and 6175

(i) The LCM of 6175 and 6168 is associative

LCM of 6168 and 6175 = LCM of 6175 and 6168

Related Least Common Multiples of 6168

Related Least Common Multiples of 6175

Frequently Asked Questions on LCM of 6168 and 6175

1. What is the LCM of 6168 and 6175?

Answer: LCM of 6168 and 6175 is 38087400.

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 6175?

Answer: Factors of 6175 are 1, 5, 13, 19, 25, 65, 95, 247, 325, 475, 1235, 6175. There are 12 integers that are factors of 6175. The greatest factor of 6175 is 6175.

4. How to Find the LCM of 6168 and 6175?

Answer:

Least Common Multiple of 6168 and 6175 = 38087400

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 6175

6175 = 5 x 5 x 13 x 19

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

LCM = 38087400 = 2 x 2 x 2 x 3 x 5 x 5 x 13 x 19 x 257

Step 4: Therefore, the least common multiple of 6168 and 6175 is 38087400.