Least Common Multiple of 9134 and 9141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9134 and 9141 the smallest integer that is 83493894 that is divisible by both numbers.

Least Common Multiple (LCM) of 9134 and 9141 is 83493894.

LCM(9134,9141) = 83493894

LCM of 9134 and 9141

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

LCM of:
and

Least Common Multiple of 9134 and 9141

LCM of 9134 and 9141 is 83493894

Least common multiple can be found by multiplying the highest exponent prime factors of 9134 and 9141. First we will calculate the prime factors of 9134 and 9141.

Prime Factorization of 9134


2 9134
4567 4567
1

Prime factors of 9134 are 2,4567. Prime factorization of 9134 in exponential form is:

9134 = 21×45671

Prime Factorization of 9141


3 9141
11 3047
277 277
1

Prime factors of 9141 are 3, 11,277. Prime factorization of 9141 in exponential form is:

9141 = 31×111×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 9134 and 9141.

LCM(9134,9141) = 21×31×111×2771×45671
LCM(9134,9141) = 83493894

Factors of 9134

List of positive integer factors of 9134 that divides 9134 without a remainder.

1, 2, 4567, 9134

Factors of 9141

List of positive integer factors of 9141 that divides 9141 without a remainder.

1, 3, 11, 33, 277, 831, 3047, 9141

Least Common Multiple of 9134 and 9141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9134 and 9141, than apply into the LCM equation.

GCF(9134,9141) = 1
LCM(9134,9141) = ( 9134 × 9141) / 1
LCM(9134,9141) = 83493894 / 1
LCM(9134,9141) = 83493894

Properties of LCM 9134 and 9141

(i) The LCM of 9141 and 9134 is associative

LCM of 9134 and 9141 = LCM of 9141 and 9134

Related Least Common Multiples of 9134

Related Least Common Multiples of 9141

Frequently Asked Questions on LCM of 9134 and 9141

1. What is the LCM of 9134 and 9141?

Answer: LCM of 9134 and 9141 is 83493894.

2. What are the Factors of 9134?

Answer: Factors of 9134 are 1, 2, 4567, 9134. There are 4 integers that are factors of 9134. The greatest factor of 9134 is 9134.

3. What are the Factors of 9141?

Answer: Factors of 9141 are 1, 3, 11, 33, 277, 831, 3047, 9141. There are 8 integers that are factors of 9141. The greatest factor of 9141 is 9141.

4. How to Find the LCM of 9134 and 9141?

Answer:

Least Common Multiple of 9134 and 9141 = 83493894

Step 1: Find the prime factorization of 9134

9134 = 2 x 4567

Step 2: Find the prime factorization of 9141

9141 = 3 x 11 x 277

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

LCM = 83493894 = 2 x 3 x 11 x 277 x 4567

Step 4: Therefore, the least common multiple of 9134 and 9141 is 83493894.