Least Common Multiple of 9168 and 9175

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 9175 the smallest integer that is 84116400 that is divisible by both numbers.

Least Common Multiple (LCM) of 9168 and 9175 is 84116400.

LCM(9168,9175) = 84116400

LCM of 9168 and 9175

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

LCM of:
and

Least Common Multiple of 9168 and 9175

LCM of 9168 and 9175 is 84116400

Least common multiple can be found by multiplying the highest exponent prime factors of 9168 and 9175. First we will calculate the prime factors of 9168 and 9175.

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 9175


5 9175
5 1835
367 367
1

Prime factors of 9175 are 5,367. Prime factorization of 9175 in exponential form is:

9175 = 52×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 9168 and 9175.

LCM(9168,9175) = 24×31×52×1911×3671
LCM(9168,9175) = 84116400

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 9175

List of positive integer factors of 9175 that divides 9175 without a remainder.

1, 5, 25, 367, 1835, 9175

Least Common Multiple of 9168 and 9175 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 9175, than apply into the LCM equation.

GCF(9168,9175) = 1
LCM(9168,9175) = ( 9168 × 9175) / 1
LCM(9168,9175) = 84116400 / 1
LCM(9168,9175) = 84116400

Properties of LCM 9168 and 9175

(i) The LCM of 9175 and 9168 is associative

LCM of 9168 and 9175 = LCM of 9175 and 9168

Related Least Common Multiples of 9168

Related Least Common Multiples of 9175

Frequently Asked Questions on LCM of 9168 and 9175

1. What is the LCM of 9168 and 9175?

Answer: LCM of 9168 and 9175 is 84116400.

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 9175?

Answer: Factors of 9175 are 1, 5, 25, 367, 1835, 9175. There are 6 integers that are factors of 9175. The greatest factor of 9175 is 9175.

4. How to Find the LCM of 9168 and 9175?

Answer:

Least Common Multiple of 9168 and 9175 = 84116400

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 9175

9175 = 5 x 5 x 367

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

LCM = 84116400 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 191 x 367

Step 4: Therefore, the least common multiple of 9168 and 9175 is 84116400.