Least Common Multiple of 8931 and 8937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8931 and 8937 the smallest integer that is 26605449 that is divisible by both numbers.

Least Common Multiple (LCM) of 8931 and 8937 is 26605449.

LCM(8931,8937) = 26605449

LCM of 8931 and 8937

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

LCM of:
and

Least Common Multiple of 8931 and 8937

LCM of 8931 and 8937 is 26605449

Least common multiple can be found by multiplying the highest exponent prime factors of 8931 and 8937. First we will calculate the prime factors of 8931 and 8937.

Prime Factorization of 8931


3 8931
13 2977
229 229
1

Prime factors of 8931 are 3, 13,229. Prime factorization of 8931 in exponential form is:

8931 = 31×131×2291

Prime Factorization of 8937


3 8937
3 2979
3 993
331 331
1

Prime factors of 8937 are 3,331. Prime factorization of 8937 in exponential form is:

8937 = 33×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 8931 and 8937.

LCM(8931,8937) = 33×131×2291×3311
LCM(8931,8937) = 26605449

Factors of 8931

List of positive integer factors of 8931 that divides 8931 without a remainder.

1, 3, 13, 39, 229, 687, 2977, 8931

Factors of 8937

List of positive integer factors of 8937 that divides 8937 without a remainder.

1, 3, 9, 27, 331, 993, 2979, 8937

Least Common Multiple of 8931 and 8937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8931 and 8937, than apply into the LCM equation.

GCF(8931,8937) = 3
LCM(8931,8937) = ( 8931 × 8937) / 3
LCM(8931,8937) = 79816347 / 3
LCM(8931,8937) = 26605449

Properties of LCM 8931 and 8937

(i) The LCM of 8937 and 8931 is associative

LCM of 8931 and 8937 = LCM of 8937 and 8931

Related Least Common Multiples of 8931

Related Least Common Multiples of 8937

Frequently Asked Questions on LCM of 8931 and 8937

1. What is the LCM of 8931 and 8937?

Answer: LCM of 8931 and 8937 is 26605449.

2. What are the Factors of 8931?

Answer: Factors of 8931 are 1, 3, 13, 39, 229, 687, 2977, 8931. There are 8 integers that are factors of 8931. The greatest factor of 8931 is 8931.

3. What are the Factors of 8937?

Answer: Factors of 8937 are 1, 3, 9, 27, 331, 993, 2979, 8937. There are 8 integers that are factors of 8937. The greatest factor of 8937 is 8937.

4. How to Find the LCM of 8931 and 8937?

Answer:

Least Common Multiple of 8931 and 8937 = 26605449

Step 1: Find the prime factorization of 8931

8931 = 3 x 13 x 229

Step 2: Find the prime factorization of 8937

8937 = 3 x 3 x 3 x 331

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

LCM = 26605449 = 3 x 3 x 3 x 13 x 229 x 331

Step 4: Therefore, the least common multiple of 8931 and 8937 is 26605449.