Least Common Multiple of 928 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 928 and 931 the smallest integer that is 863968 that is divisible by both numbers.

Least Common Multiple (LCM) of 928 and 931 is 863968.

LCM(928,931) = 863968

LCM of 928 and 931

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

LCM of:
and

Least Common Multiple of 928 and 931

LCM of 928 and 931 is 863968

Least common multiple can be found by multiplying the highest exponent prime factors of 928 and 931. First we will calculate the prime factors of 928 and 931.

Prime Factorization of 928


2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 928 are 2,29. Prime factorization of 928 in exponential form is:

928 = 25×291

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 928 and 931.

LCM(928,931) = 25×72×191×291
LCM(928,931) = 863968

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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 928 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 928 and 931, than apply into the LCM equation.

GCF(928,931) = 1
LCM(928,931) = ( 928 × 931) / 1
LCM(928,931) = 863968 / 1
LCM(928,931) = 863968

Properties of LCM 928 and 931

(i) The LCM of 931 and 928 is associative

LCM of 928 and 931 = LCM of 931 and 928

Related Least Common Multiples of 928

Related Least Common Multiples of 931

Frequently Asked Questions on LCM of 928 and 931

1. What is the LCM of 928 and 931?

Answer: LCM of 928 and 931 is 863968.

2. What are the Factors of 928?

Answer: Factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928. There are 12 integers that are factors of 928. The greatest factor of 928 is 928.

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 928 and 931?

Answer:

Least Common Multiple of 928 and 931 = 863968

Step 1: Find the prime factorization of 928

928 = 2 x 2 x 2 x 2 x 2 x 29

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 = 863968 = 2 x 2 x 2 x 2 x 2 x 7 x 7 x 19 x 29

Step 4: Therefore, the least common multiple of 928 and 931 is 863968.