Least Common Multiple of 931 and 933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 931 and 933 the smallest integer that is 868623 that is divisible by both numbers.

Least Common Multiple (LCM) of 931 and 933 is 868623.

LCM(931,933) = 868623

LCM of 931 and 933

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

LCM of:
and

Least Common Multiple of 931 and 933

LCM of 931 and 933 is 868623

Least common multiple can be found by multiplying the highest exponent prime factors of 931 and 933. First we will calculate the prime factors of 931 and 933.

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

Prime Factorization of 933


3 933
311 311
1

Prime factors of 933 are 3,311. Prime factorization of 933 in exponential form is:

933 = 31×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 931 and 933.

LCM(931,933) = 31×72×191×3111
LCM(931,933) = 868623

Factors of 931

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

1, 7, 19, 49, 133, 931

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Least Common Multiple of 931 and 933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 931 and 933, than apply into the LCM equation.

GCF(931,933) = 1
LCM(931,933) = ( 931 × 933) / 1
LCM(931,933) = 868623 / 1
LCM(931,933) = 868623

Properties of LCM 931 and 933

(i) The LCM of 933 and 931 is associative

LCM of 931 and 933 = LCM of 933 and 931

Related Least Common Multiples of 931

Related Least Common Multiples of 933

Frequently Asked Questions on LCM of 931 and 933

1. What is the LCM of 931 and 933?

Answer: LCM of 931 and 933 is 868623.

2. 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.

3. What are the Factors of 933?

Answer: Factors of 933 are 1, 3, 311, 933. There are 4 integers that are factors of 933. The greatest factor of 933 is 933.

4. How to Find the LCM of 931 and 933?

Answer:

Least Common Multiple of 931 and 933 = 868623

Step 1: Find the prime factorization of 931

931 = 7 x 7 x 19

Step 2: Find the prime factorization of 933

933 = 3 x 311

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

LCM = 868623 = 3 x 7 x 7 x 19 x 311

Step 4: Therefore, the least common multiple of 931 and 933 is 868623.