Least Common Multiple of 9168 and 9176

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 9176 the smallest integer that is 10515696 that is divisible by both numbers.

Least Common Multiple (LCM) of 9168 and 9176 is 10515696.

LCM(9168,9176) = 10515696

LCM of 9168 and 9176

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

LCM of:
and

Least Common Multiple of 9168 and 9176

LCM of 9168 and 9176 is 10515696

Least common multiple can be found by multiplying the highest exponent prime factors of 9168 and 9176. First we will calculate the prime factors of 9168 and 9176.

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 9176


2 9176
2 4588
2 2294
31 1147
37 37
1

Prime factors of 9176 are 2, 31,37. Prime factorization of 9176 in exponential form is:

9176 = 23×311×371

Now multiplying the highest exponent prime factors to calculate the LCM of 9168 and 9176.

LCM(9168,9176) = 24×31×311×371×1911
LCM(9168,9176) = 10515696

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 9176

List of positive integer factors of 9176 that divides 9176 without a remainder.

1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176

Least Common Multiple of 9168 and 9176 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 9176, than apply into the LCM equation.

GCF(9168,9176) = 8
LCM(9168,9176) = ( 9168 × 9176) / 8
LCM(9168,9176) = 84125568 / 8
LCM(9168,9176) = 10515696

Properties of LCM 9168 and 9176

(i) The LCM of 9176 and 9168 is associative

LCM of 9168 and 9176 = LCM of 9176 and 9168

Related Least Common Multiples of 9168

Related Least Common Multiples of 9176

Frequently Asked Questions on LCM of 9168 and 9176

1. What is the LCM of 9168 and 9176?

Answer: LCM of 9168 and 9176 is 10515696.

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 9176?

Answer: Factors of 9176 are 1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176. There are 16 integers that are factors of 9176. The greatest factor of 9176 is 9176.

4. How to Find the LCM of 9168 and 9176?

Answer:

Least Common Multiple of 9168 and 9176 = 10515696

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 9176

9176 = 2 x 2 x 2 x 31 x 37

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

LCM = 10515696 = 2 x 2 x 2 x 2 x 3 x 31 x 37 x 191

Step 4: Therefore, the least common multiple of 9168 and 9176 is 10515696.