Least Common Multiple of 9161 and 9168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9161 and 9168 the smallest integer that is 83988048 that is divisible by both numbers.

Least Common Multiple (LCM) of 9161 and 9168 is 83988048.

LCM(9161,9168) = 83988048

LCM of 9161 and 9168

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

LCM of:
and

Least Common Multiple of 9161 and 9168

LCM of 9161 and 9168 is 83988048

Least common multiple can be found by multiplying the highest exponent prime factors of 9161 and 9168. First we will calculate the prime factors of 9161 and 9168.

Prime Factorization of 9161


9161 9161
1

Prime factors of 9161 are 9161. Prime factorization of 9161 in exponential form is:

9161 = 91611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9161 and 9168.

LCM(9161,9168) = 24×31×1911×91611
LCM(9161,9168) = 83988048

Factors of 9161

List of positive integer factors of 9161 that divides 9161 without a remainder.

1, 9161

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

Least Common Multiple of 9161 and 9168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9161 and 9168, than apply into the LCM equation.

GCF(9161,9168) = 1
LCM(9161,9168) = ( 9161 × 9168) / 1
LCM(9161,9168) = 83988048 / 1
LCM(9161,9168) = 83988048

Properties of LCM 9161 and 9168

(i) The LCM of 9168 and 9161 is associative

LCM of 9161 and 9168 = LCM of 9168 and 9161

Related Least Common Multiples of 9161

Related Least Common Multiples of 9168

Frequently Asked Questions on LCM of 9161 and 9168

1. What is the LCM of 9161 and 9168?

Answer: LCM of 9161 and 9168 is 83988048.

2. What are the Factors of 9161?

Answer: Factors of 9161 are 1, 9161. There are 2 integers that are factors of 9161. The greatest factor of 9161 is 9161.

3. 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.

4. How to Find the LCM of 9161 and 9168?

Answer:

Least Common Multiple of 9161 and 9168 = 83988048

Step 1: Find the prime factorization of 9161

9161 = 9161

Step 2: Find the prime factorization of 9168

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

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

LCM = 83988048 = 2 x 2 x 2 x 2 x 3 x 191 x 9161

Step 4: Therefore, the least common multiple of 9161 and 9168 is 83988048.