Least Common Multiple of 9154 and 9158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9154 and 9158 the smallest integer that is 41916166 that is divisible by both numbers.

Least Common Multiple (LCM) of 9154 and 9158 is 41916166.

LCM(9154,9158) = 41916166

LCM of 9154 and 9158

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

LCM of:
and

Least Common Multiple of 9154 and 9158

LCM of 9154 and 9158 is 41916166

Least common multiple can be found by multiplying the highest exponent prime factors of 9154 and 9158. First we will calculate the prime factors of 9154 and 9158.

Prime Factorization of 9154


2 9154
23 4577
199 199
1

Prime factors of 9154 are 2, 23,199. Prime factorization of 9154 in exponential form is:

9154 = 21×231×1991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9154 and 9158.

LCM(9154,9158) = 21×191×231×1991×2411
LCM(9154,9158) = 41916166

Factors of 9154

List of positive integer factors of 9154 that divides 9154 without a remainder.

1, 2, 23, 46, 199, 398, 4577, 9154

Factors of 9158

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

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

Least Common Multiple of 9154 and 9158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9154 and 9158, than apply into the LCM equation.

GCF(9154,9158) = 2
LCM(9154,9158) = ( 9154 × 9158) / 2
LCM(9154,9158) = 83832332 / 2
LCM(9154,9158) = 41916166

Properties of LCM 9154 and 9158

(i) The LCM of 9158 and 9154 is associative

LCM of 9154 and 9158 = LCM of 9158 and 9154

Related Least Common Multiples of 9154

Related Least Common Multiples of 9158

Frequently Asked Questions on LCM of 9154 and 9158

1. What is the LCM of 9154 and 9158?

Answer: LCM of 9154 and 9158 is 41916166.

2. What are the Factors of 9154?

Answer: Factors of 9154 are 1, 2, 23, 46, 199, 398, 4577, 9154. There are 8 integers that are factors of 9154. The greatest factor of 9154 is 9154.

3. 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.

4. How to Find the LCM of 9154 and 9158?

Answer:

Least Common Multiple of 9154 and 9158 = 41916166

Step 1: Find the prime factorization of 9154

9154 = 2 x 23 x 199

Step 2: Find the prime factorization of 9158

9158 = 2 x 19 x 241

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

LCM = 41916166 = 2 x 19 x 23 x 199 x 241

Step 4: Therefore, the least common multiple of 9154 and 9158 is 41916166.