Least Common Multiple of 9140 and 9146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9140 and 9146 the smallest integer that is 41797220 that is divisible by both numbers.

Least Common Multiple (LCM) of 9140 and 9146 is 41797220.

LCM(9140,9146) = 41797220

LCM of 9140 and 9146

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

LCM of:
and

Least Common Multiple of 9140 and 9146

LCM of 9140 and 9146 is 41797220

Least common multiple can be found by multiplying the highest exponent prime factors of 9140 and 9146. First we will calculate the prime factors of 9140 and 9146.

Prime Factorization of 9140


2 9140
2 4570
5 2285
457 457
1

Prime factors of 9140 are 2, 5,457. Prime factorization of 9140 in exponential form is:

9140 = 22×51×4571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9140 and 9146.

LCM(9140,9146) = 22×51×171×2691×4571
LCM(9140,9146) = 41797220

Factors of 9140

List of positive integer factors of 9140 that divides 9140 without a remainder.

1, 2, 4, 5, 10, 20, 457, 914, 1828, 2285, 4570, 9140

Factors of 9146

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

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

Least Common Multiple of 9140 and 9146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9140 and 9146, than apply into the LCM equation.

GCF(9140,9146) = 2
LCM(9140,9146) = ( 9140 × 9146) / 2
LCM(9140,9146) = 83594440 / 2
LCM(9140,9146) = 41797220

Properties of LCM 9140 and 9146

(i) The LCM of 9146 and 9140 is associative

LCM of 9140 and 9146 = LCM of 9146 and 9140

Related Least Common Multiples of 9140

Related Least Common Multiples of 9146

Frequently Asked Questions on LCM of 9140 and 9146

1. What is the LCM of 9140 and 9146?

Answer: LCM of 9140 and 9146 is 41797220.

2. What are the Factors of 9140?

Answer: Factors of 9140 are 1, 2, 4, 5, 10, 20, 457, 914, 1828, 2285, 4570, 9140. There are 12 integers that are factors of 9140. The greatest factor of 9140 is 9140.

3. 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.

4. How to Find the LCM of 9140 and 9146?

Answer:

Least Common Multiple of 9140 and 9146 = 41797220

Step 1: Find the prime factorization of 9140

9140 = 2 x 2 x 5 x 457

Step 2: Find the prime factorization of 9146

9146 = 2 x 17 x 269

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

LCM = 41797220 = 2 x 2 x 5 x 17 x 269 x 457

Step 4: Therefore, the least common multiple of 9140 and 9146 is 41797220.