Least Common Multiple of 9168 and 9174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9168 and 9174 the smallest integer that is 14017872 that is divisible by both numbers.

Least Common Multiple (LCM) of 9168 and 9174 is 14017872.

LCM(9168,9174) = 14017872

LCM of 9168 and 9174

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

LCM of:
and

Least Common Multiple of 9168 and 9174

LCM of 9168 and 9174 is 14017872

Least common multiple can be found by multiplying the highest exponent prime factors of 9168 and 9174. First we will calculate the prime factors of 9168 and 9174.

Prime Factorization of 9168


2 9168
2 4584
2 2292
2 1146
3 573
191 191
1

Prime factors of 9168 are 2, 3,191. Prime factorization of 9168 in exponential form is:

9168 = 24×31×1911

Prime Factorization of 9174


2 9174
3 4587
11 1529
139 139
1

Prime factors of 9174 are 2, 3, 11,139. Prime factorization of 9174 in exponential form is:

9174 = 21×31×111×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 9168 and 9174.

LCM(9168,9174) = 24×31×111×1391×1911
LCM(9168,9174) = 14017872

Factors of 9168

List of positive integer factors of 9168 that divides 9168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 191, 382, 573, 764, 1146, 1528, 2292, 3056, 4584, 9168

Factors of 9174

List of positive integer factors of 9174 that divides 9174 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 139, 278, 417, 834, 1529, 3058, 4587, 9174

Least Common Multiple of 9168 and 9174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9168 and 9174, than apply into the LCM equation.

GCF(9168,9174) = 6
LCM(9168,9174) = ( 9168 × 9174) / 6
LCM(9168,9174) = 84107232 / 6
LCM(9168,9174) = 14017872

Properties of LCM 9168 and 9174

(i) The LCM of 9174 and 9168 is associative

LCM of 9168 and 9174 = LCM of 9174 and 9168

Related Least Common Multiples of 9168

Related Least Common Multiples of 9174

Frequently Asked Questions on LCM of 9168 and 9174

1. What is the LCM of 9168 and 9174?

Answer: LCM of 9168 and 9174 is 14017872.

2. What are the Factors of 9168?

Answer: Factors of 9168 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 191, 382, 573, 764, 1146, 1528, 2292, 3056, 4584, 9168. There are 20 integers that are factors of 9168. The greatest factor of 9168 is 9168.

3. What are the Factors of 9174?

Answer: Factors of 9174 are 1, 2, 3, 6, 11, 22, 33, 66, 139, 278, 417, 834, 1529, 3058, 4587, 9174. There are 16 integers that are factors of 9174. The greatest factor of 9174 is 9174.

4. How to Find the LCM of 9168 and 9174?

Answer:

Least Common Multiple of 9168 and 9174 = 14017872

Step 1: Find the prime factorization of 9168

9168 = 2 x 2 x 2 x 2 x 3 x 191

Step 2: Find the prime factorization of 9174

9174 = 2 x 3 x 11 x 139

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

LCM = 14017872 = 2 x 2 x 2 x 2 x 3 x 11 x 139 x 191

Step 4: Therefore, the least common multiple of 9168 and 9174 is 14017872.