Least Common Multiple of 9146 and 9154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9146 and 9154 the smallest integer that is 41861242 that is divisible by both numbers.

Least Common Multiple (LCM) of 9146 and 9154 is 41861242.

LCM(9146,9154) = 41861242

LCM of 9146 and 9154

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

LCM of:
and

Least Common Multiple of 9146 and 9154

LCM of 9146 and 9154 is 41861242

Least common multiple can be found by multiplying the highest exponent prime factors of 9146 and 9154. First we will calculate the prime factors of 9146 and 9154.

Prime Factorization of 9146


2 9146
17 4573
269 269
1

Prime factors of 9146 are 2, 17,269. Prime factorization of 9146 in exponential form is:

9146 = 21×171×2691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9146 and 9154.

LCM(9146,9154) = 21×171×231×1991×2691
LCM(9146,9154) = 41861242

Factors of 9146

List of positive integer factors of 9146 that divides 9146 without a remainder.

1, 2, 17, 34, 269, 538, 4573, 9146

Factors of 9154

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

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

Least Common Multiple of 9146 and 9154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9146 and 9154, than apply into the LCM equation.

GCF(9146,9154) = 2
LCM(9146,9154) = ( 9146 × 9154) / 2
LCM(9146,9154) = 83722484 / 2
LCM(9146,9154) = 41861242

Properties of LCM 9146 and 9154

(i) The LCM of 9154 and 9146 is associative

LCM of 9146 and 9154 = LCM of 9154 and 9146

Related Least Common Multiples of 9146

Related Least Common Multiples of 9154

Frequently Asked Questions on LCM of 9146 and 9154

1. What is the LCM of 9146 and 9154?

Answer: LCM of 9146 and 9154 is 41861242.

2. What are the Factors of 9146?

Answer: Factors of 9146 are 1, 2, 17, 34, 269, 538, 4573, 9146. There are 8 integers that are factors of 9146. The greatest factor of 9146 is 9146.

3. 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.

4. How to Find the LCM of 9146 and 9154?

Answer:

Least Common Multiple of 9146 and 9154 = 41861242

Step 1: Find the prime factorization of 9146

9146 = 2 x 17 x 269

Step 2: Find the prime factorization of 9154

9154 = 2 x 23 x 199

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

LCM = 41861242 = 2 x 17 x 23 x 199 x 269

Step 4: Therefore, the least common multiple of 9146 and 9154 is 41861242.