Least Common Multiple of 9158 and 9162

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 9162 the smallest integer that is 41952798 that is divisible by both numbers.

Least Common Multiple (LCM) of 9158 and 9162 is 41952798.

LCM(9158,9162) = 41952798

LCM of 9158 and 9162

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

LCM of:
and

Least Common Multiple of 9158 and 9162

LCM of 9158 and 9162 is 41952798

Least common multiple can be found by multiplying the highest exponent prime factors of 9158 and 9162. First we will calculate the prime factors of 9158 and 9162.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 9158 and 9162.

LCM(9158,9162) = 21×32×191×2411×5091
LCM(9158,9162) = 41952798

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 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

Least Common Multiple of 9158 and 9162 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 9162, than apply into the LCM equation.

GCF(9158,9162) = 2
LCM(9158,9162) = ( 9158 × 9162) / 2
LCM(9158,9162) = 83905596 / 2
LCM(9158,9162) = 41952798

Properties of LCM 9158 and 9162

(i) The LCM of 9162 and 9158 is associative

LCM of 9158 and 9162 = LCM of 9162 and 9158

Related Least Common Multiples of 9158

Related Least Common Multiples of 9162

Frequently Asked Questions on LCM of 9158 and 9162

1. What is the LCM of 9158 and 9162?

Answer: LCM of 9158 and 9162 is 41952798.

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 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.

4. How to Find the LCM of 9158 and 9162?

Answer:

Least Common Multiple of 9158 and 9162 = 41952798

Step 1: Find the prime factorization of 9158

9158 = 2 x 19 x 241

Step 2: Find the prime factorization of 9162

9162 = 2 x 3 x 3 x 509

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

LCM = 41952798 = 2 x 3 x 3 x 19 x 241 x 509

Step 4: Therefore, the least common multiple of 9158 and 9162 is 41952798.