Least Common Multiple of 6168 and 6174

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 6174 the smallest integer that is 6346872 that is divisible by both numbers.

Least Common Multiple (LCM) of 6168 and 6174 is 6346872.

LCM(6168,6174) = 6346872

LCM of 6168 and 6174

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

LCM of:
and

Least Common Multiple of 6168 and 6174

LCM of 6168 and 6174 is 6346872

Least common multiple can be found by multiplying the highest exponent prime factors of 6168 and 6174. First we will calculate the prime factors of 6168 and 6174.

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 6174


2 6174
3 3087
3 1029
7 343
7 49
7 7
1

Prime factors of 6174 are 2, 3,7. Prime factorization of 6174 in exponential form is:

6174 = 21×32×73

Now multiplying the highest exponent prime factors to calculate the LCM of 6168 and 6174.

LCM(6168,6174) = 23×32×73×2571
LCM(6168,6174) = 6346872

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 6174

List of positive integer factors of 6174 that divides 6174 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 343, 441, 686, 882, 1029, 2058, 3087, 6174

Least Common Multiple of 6168 and 6174 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 6174, than apply into the LCM equation.

GCF(6168,6174) = 6
LCM(6168,6174) = ( 6168 × 6174) / 6
LCM(6168,6174) = 38081232 / 6
LCM(6168,6174) = 6346872

Properties of LCM 6168 and 6174

(i) The LCM of 6174 and 6168 is associative

LCM of 6168 and 6174 = LCM of 6174 and 6168

Related Least Common Multiples of 6168

Related Least Common Multiples of 6174

Frequently Asked Questions on LCM of 6168 and 6174

1. What is the LCM of 6168 and 6174?

Answer: LCM of 6168 and 6174 is 6346872.

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 6174?

Answer: Factors of 6174 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 343, 441, 686, 882, 1029, 2058, 3087, 6174. There are 24 integers that are factors of 6174. The greatest factor of 6174 is 6174.

4. How to Find the LCM of 6168 and 6174?

Answer:

Least Common Multiple of 6168 and 6174 = 6346872

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 6174

6174 = 2 x 3 x 3 x 7 x 7 x 7

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

LCM = 6346872 = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 7 x 257

Step 4: Therefore, the least common multiple of 6168 and 6174 is 6346872.