Least Common Multiple of 9162 and 9166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9162 and 9166 the smallest integer that is 41989446 that is divisible by both numbers.

Least Common Multiple (LCM) of 9162 and 9166 is 41989446.

LCM(9162,9166) = 41989446

LCM of 9162 and 9166

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

LCM of:
and

Least Common Multiple of 9162 and 9166

LCM of 9162 and 9166 is 41989446

Least common multiple can be found by multiplying the highest exponent prime factors of 9162 and 9166. First we will calculate the prime factors of 9162 and 9166.

Prime Factorization of 9162


2 9162
3 4581
3 1527
509 509
1

Prime factors of 9162 are 2, 3,509. Prime factorization of 9162 in exponential form is:

9162 = 21×32×5091

Prime Factorization of 9166


2 9166
4583 4583
1

Prime factors of 9166 are 2,4583. Prime factorization of 9166 in exponential form is:

9166 = 21×45831

Now multiplying the highest exponent prime factors to calculate the LCM of 9162 and 9166.

LCM(9162,9166) = 21×32×5091×45831
LCM(9162,9166) = 41989446

Factors of 9162

List of positive integer factors of 9162 that divides 9162 without a remainder.

1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162

Factors of 9166

List of positive integer factors of 9166 that divides 9166 without a remainder.

1, 2, 4583, 9166

Least Common Multiple of 9162 and 9166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9162 and 9166, than apply into the LCM equation.

GCF(9162,9166) = 2
LCM(9162,9166) = ( 9162 × 9166) / 2
LCM(9162,9166) = 83978892 / 2
LCM(9162,9166) = 41989446

Properties of LCM 9162 and 9166

(i) The LCM of 9166 and 9162 is associative

LCM of 9162 and 9166 = LCM of 9166 and 9162

Related Least Common Multiples of 9162

Related Least Common Multiples of 9166

Frequently Asked Questions on LCM of 9162 and 9166

1. What is the LCM of 9162 and 9166?

Answer: LCM of 9162 and 9166 is 41989446.

2. What are the Factors of 9162?

Answer: Factors of 9162 are 1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162. There are 12 integers that are factors of 9162. The greatest factor of 9162 is 9162.

3. What are the Factors of 9166?

Answer: Factors of 9166 are 1, 2, 4583, 9166. There are 4 integers that are factors of 9166. The greatest factor of 9166 is 9166.

4. How to Find the LCM of 9162 and 9166?

Answer:

Least Common Multiple of 9162 and 9166 = 41989446

Step 1: Find the prime factorization of 9162

9162 = 2 x 3 x 3 x 509

Step 2: Find the prime factorization of 9166

9166 = 2 x 4583

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

LCM = 41989446 = 2 x 3 x 3 x 509 x 4583

Step 4: Therefore, the least common multiple of 9162 and 9166 is 41989446.