Least Common Multiple of 8931 and 8938

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 8938 the smallest integer that is 79825278 that is divisible by both numbers.

Least Common Multiple (LCM) of 8931 and 8938 is 79825278.

LCM(8931,8938) = 79825278

LCM of 8931 and 8938

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

LCM of:
and

Least Common Multiple of 8931 and 8938

LCM of 8931 and 8938 is 79825278

Least common multiple can be found by multiplying the highest exponent prime factors of 8931 and 8938. First we will calculate the prime factors of 8931 and 8938.

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 8938


2 8938
41 4469
109 109
1

Prime factors of 8938 are 2, 41,109. Prime factorization of 8938 in exponential form is:

8938 = 21×411×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 8931 and 8938.

LCM(8931,8938) = 21×31×131×411×1091×2291
LCM(8931,8938) = 79825278

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 8938

List of positive integer factors of 8938 that divides 8938 without a remainder.

1, 2, 41, 82, 109, 218, 4469, 8938

Least Common Multiple of 8931 and 8938 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 8938, than apply into the LCM equation.

GCF(8931,8938) = 1
LCM(8931,8938) = ( 8931 × 8938) / 1
LCM(8931,8938) = 79825278 / 1
LCM(8931,8938) = 79825278

Properties of LCM 8931 and 8938

(i) The LCM of 8938 and 8931 is associative

LCM of 8931 and 8938 = LCM of 8938 and 8931

Related Least Common Multiples of 8931

Related Least Common Multiples of 8938

Frequently Asked Questions on LCM of 8931 and 8938

1. What is the LCM of 8931 and 8938?

Answer: LCM of 8931 and 8938 is 79825278.

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 8938?

Answer: Factors of 8938 are 1, 2, 41, 82, 109, 218, 4469, 8938. There are 8 integers that are factors of 8938. The greatest factor of 8938 is 8938.

4. How to Find the LCM of 8931 and 8938?

Answer:

Least Common Multiple of 8931 and 8938 = 79825278

Step 1: Find the prime factorization of 8931

8931 = 3 x 13 x 229

Step 2: Find the prime factorization of 8938

8938 = 2 x 41 x 109

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

LCM = 79825278 = 2 x 3 x 13 x 41 x 109 x 229

Step 4: Therefore, the least common multiple of 8931 and 8938 is 79825278.