Least Common Multiple of 6168 and 6172

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 6172 the smallest integer that is 9517224 that is divisible by both numbers.

Least Common Multiple (LCM) of 6168 and 6172 is 9517224.

LCM(6168,6172) = 9517224

LCM of 6168 and 6172

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

LCM of:
and

Least Common Multiple of 6168 and 6172

LCM of 6168 and 6172 is 9517224

Least common multiple can be found by multiplying the highest exponent prime factors of 6168 and 6172. First we will calculate the prime factors of 6168 and 6172.

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 6172


2 6172
2 3086
1543 1543
1

Prime factors of 6172 are 2,1543. Prime factorization of 6172 in exponential form is:

6172 = 22×15431

Now multiplying the highest exponent prime factors to calculate the LCM of 6168 and 6172.

LCM(6168,6172) = 23×31×2571×15431
LCM(6168,6172) = 9517224

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 6172

List of positive integer factors of 6172 that divides 6172 without a remainder.

1, 2, 4, 1543, 3086, 6172

Least Common Multiple of 6168 and 6172 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 6172, than apply into the LCM equation.

GCF(6168,6172) = 4
LCM(6168,6172) = ( 6168 × 6172) / 4
LCM(6168,6172) = 38068896 / 4
LCM(6168,6172) = 9517224

Properties of LCM 6168 and 6172

(i) The LCM of 6172 and 6168 is associative

LCM of 6168 and 6172 = LCM of 6172 and 6168

Related Least Common Multiples of 6168

Related Least Common Multiples of 6172

Frequently Asked Questions on LCM of 6168 and 6172

1. What is the LCM of 6168 and 6172?

Answer: LCM of 6168 and 6172 is 9517224.

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 6172?

Answer: Factors of 6172 are 1, 2, 4, 1543, 3086, 6172. There are 6 integers that are factors of 6172. The greatest factor of 6172 is 6172.

4. How to Find the LCM of 6168 and 6172?

Answer:

Least Common Multiple of 6168 and 6172 = 9517224

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 6172

6172 = 2 x 2 x 1543

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

LCM = 9517224 = 2 x 2 x 2 x 3 x 257 x 1543

Step 4: Therefore, the least common multiple of 6168 and 6172 is 9517224.