Least Common Multiple of 9158 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 9158 and 9166 the smallest integer that is 41971114 that is divisible by both numbers.

Least Common Multiple (LCM) of 9158 and 9166 is 41971114.

LCM(9158,9166) = 41971114

LCM of 9158 and 9166

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

LCM of:
and

Least Common Multiple of 9158 and 9166

LCM of 9158 and 9166 is 41971114

Least common multiple can be found by multiplying the highest exponent prime factors of 9158 and 9166. First we will calculate the prime factors of 9158 and 9166.

Prime Factorization of 9158


2 9158
19 4579
241 241
1

Prime factors of 9158 are 2, 19,241. Prime factorization of 9158 in exponential form is:

9158 = 21×191×2411

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 9158 and 9166.

LCM(9158,9166) = 21×191×2411×45831
LCM(9158,9166) = 41971114

Factors of 9158

List of positive integer factors of 9158 that divides 9158 without a remainder.

1, 2, 19, 38, 241, 482, 4579, 9158

Factors of 9166

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

1, 2, 4583, 9166

Least Common Multiple of 9158 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 9158 and 9166, than apply into the LCM equation.

GCF(9158,9166) = 2
LCM(9158,9166) = ( 9158 × 9166) / 2
LCM(9158,9166) = 83942228 / 2
LCM(9158,9166) = 41971114

Properties of LCM 9158 and 9166

(i) The LCM of 9166 and 9158 is associative

LCM of 9158 and 9166 = LCM of 9166 and 9158

Related Least Common Multiples of 9158

Related Least Common Multiples of 9166

Frequently Asked Questions on LCM of 9158 and 9166

1. What is the LCM of 9158 and 9166?

Answer: LCM of 9158 and 9166 is 41971114.

2. What are the Factors of 9158?

Answer: Factors of 9158 are 1, 2, 19, 38, 241, 482, 4579, 9158. There are 8 integers that are factors of 9158. The greatest factor of 9158 is 9158.

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 9158 and 9166?

Answer:

Least Common Multiple of 9158 and 9166 = 41971114

Step 1: Find the prime factorization of 9158

9158 = 2 x 19 x 241

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 = 41971114 = 2 x 19 x 241 x 4583

Step 4: Therefore, the least common multiple of 9158 and 9166 is 41971114.