Least Common Multiple of 9131 and 9134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9131 and 9134 the smallest integer that is 83402554 that is divisible by both numbers.

Least Common Multiple (LCM) of 9131 and 9134 is 83402554.

LCM(9131,9134) = 83402554

LCM of 9131 and 9134

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

LCM of:
and

Least Common Multiple of 9131 and 9134

LCM of 9131 and 9134 is 83402554

Least common multiple can be found by multiplying the highest exponent prime factors of 9131 and 9134. First we will calculate the prime factors of 9131 and 9134.

Prime Factorization of 9131


23 9131
397 397
1

Prime factors of 9131 are 23,397. Prime factorization of 9131 in exponential form is:

9131 = 231×3971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9131 and 9134.

LCM(9131,9134) = 21×231×3971×45671
LCM(9131,9134) = 83402554

Factors of 9131

List of positive integer factors of 9131 that divides 9131 without a remainder.

1, 23, 397, 9131

Factors of 9134

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

1, 2, 4567, 9134

Least Common Multiple of 9131 and 9134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9131 and 9134, than apply into the LCM equation.

GCF(9131,9134) = 1
LCM(9131,9134) = ( 9131 × 9134) / 1
LCM(9131,9134) = 83402554 / 1
LCM(9131,9134) = 83402554

Properties of LCM 9131 and 9134

(i) The LCM of 9134 and 9131 is associative

LCM of 9131 and 9134 = LCM of 9134 and 9131

Related Least Common Multiples of 9131

Related Least Common Multiples of 9134

Frequently Asked Questions on LCM of 9131 and 9134

1. What is the LCM of 9131 and 9134?

Answer: LCM of 9131 and 9134 is 83402554.

2. What are the Factors of 9131?

Answer: Factors of 9131 are 1, 23, 397, 9131. There are 4 integers that are factors of 9131. The greatest factor of 9131 is 9131.

3. 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.

4. How to Find the LCM of 9131 and 9134?

Answer:

Least Common Multiple of 9131 and 9134 = 83402554

Step 1: Find the prime factorization of 9131

9131 = 23 x 397

Step 2: Find the prime factorization of 9134

9134 = 2 x 4567

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

LCM = 83402554 = 2 x 23 x 397 x 4567

Step 4: Therefore, the least common multiple of 9131 and 9134 is 83402554.