Least Common Multiple of 925 and 931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 925 and 931 the smallest integer that is 861175 that is divisible by both numbers.

Least Common Multiple (LCM) of 925 and 931 is 861175.

LCM(925,931) = 861175

LCM of 925 and 931

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

LCM of:
and

Least Common Multiple of 925 and 931

LCM of 925 and 931 is 861175

Least common multiple can be found by multiplying the highest exponent prime factors of 925 and 931. First we will calculate the prime factors of 925 and 931.

Prime Factorization of 925


5 925
5 185
37 37
1

Prime factors of 925 are 5,37. Prime factorization of 925 in exponential form is:

925 = 52×371

Prime Factorization of 931


7 931
7 133
19 19
1

Prime factors of 931 are 7,19. Prime factorization of 931 in exponential form is:

931 = 72×191

Now multiplying the highest exponent prime factors to calculate the LCM of 925 and 931.

LCM(925,931) = 52×72×191×371
LCM(925,931) = 861175

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Least Common Multiple of 925 and 931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 925 and 931, than apply into the LCM equation.

GCF(925,931) = 1
LCM(925,931) = ( 925 × 931) / 1
LCM(925,931) = 861175 / 1
LCM(925,931) = 861175

Properties of LCM 925 and 931

(i) The LCM of 931 and 925 is associative

LCM of 925 and 931 = LCM of 931 and 925

Related Least Common Multiples of 925

Related Least Common Multiples of 931

Frequently Asked Questions on LCM of 925 and 931

1. What is the LCM of 925 and 931?

Answer: LCM of 925 and 931 is 861175.

2. What are the Factors of 925?

Answer: Factors of 925 are 1, 5, 25, 37, 185, 925. There are 6 integers that are factors of 925. The greatest factor of 925 is 925.

3. What are the Factors of 931?

Answer: Factors of 931 are 1, 7, 19, 49, 133, 931. There are 6 integers that are factors of 931. The greatest factor of 931 is 931.

4. How to Find the LCM of 925 and 931?

Answer:

Least Common Multiple of 925 and 931 = 861175

Step 1: Find the prime factorization of 925

925 = 5 x 5 x 37

Step 2: Find the prime factorization of 931

931 = 7 x 7 x 19

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

LCM = 861175 = 5 x 5 x 7 x 7 x 19 x 37

Step 4: Therefore, the least common multiple of 925 and 931 is 861175.