Least Common Multiple of 6925 and 6931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6925 and 6931 the smallest integer that is 47997175 that is divisible by both numbers.

Least Common Multiple (LCM) of 6925 and 6931 is 47997175.

LCM(6925,6931) = 47997175

LCM of 6925 and 6931

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

LCM of:
and

Least Common Multiple of 6925 and 6931

LCM of 6925 and 6931 is 47997175

Least common multiple can be found by multiplying the highest exponent prime factors of 6925 and 6931. First we will calculate the prime factors of 6925 and 6931.

Prime Factorization of 6925


5 6925
5 1385
277 277
1

Prime factors of 6925 are 5,277. Prime factorization of 6925 in exponential form is:

6925 = 52×2771

Prime Factorization of 6931


29 6931
239 239
1

Prime factors of 6931 are 29,239. Prime factorization of 6931 in exponential form is:

6931 = 291×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 6925 and 6931.

LCM(6925,6931) = 52×291×2391×2771
LCM(6925,6931) = 47997175

Factors of 6925

List of positive integer factors of 6925 that divides 6925 without a remainder.

1, 5, 25, 277, 1385, 6925

Factors of 6931

List of positive integer factors of 6931 that divides 6931 without a remainder.

1, 29, 239, 6931

Least Common Multiple of 6925 and 6931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6925 and 6931, than apply into the LCM equation.

GCF(6925,6931) = 1
LCM(6925,6931) = ( 6925 × 6931) / 1
LCM(6925,6931) = 47997175 / 1
LCM(6925,6931) = 47997175

Properties of LCM 6925 and 6931

(i) The LCM of 6931 and 6925 is associative

LCM of 6925 and 6931 = LCM of 6931 and 6925

Related Least Common Multiples of 6925

Related Least Common Multiples of 6931

Frequently Asked Questions on LCM of 6925 and 6931

1. What is the LCM of 6925 and 6931?

Answer: LCM of 6925 and 6931 is 47997175.

2. What are the Factors of 6925?

Answer: Factors of 6925 are 1, 5, 25, 277, 1385, 6925. There are 6 integers that are factors of 6925. The greatest factor of 6925 is 6925.

3. What are the Factors of 6931?

Answer: Factors of 6931 are 1, 29, 239, 6931. There are 4 integers that are factors of 6931. The greatest factor of 6931 is 6931.

4. How to Find the LCM of 6925 and 6931?

Answer:

Least Common Multiple of 6925 and 6931 = 47997175

Step 1: Find the prime factorization of 6925

6925 = 5 x 5 x 277

Step 2: Find the prime factorization of 6931

6931 = 29 x 239

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

LCM = 47997175 = 5 x 5 x 29 x 239 x 277

Step 4: Therefore, the least common multiple of 6925 and 6931 is 47997175.