Least Common Multiple of 931 and 936

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 936 the smallest integer that is 871416 that is divisible by both numbers.

Least Common Multiple (LCM) of 931 and 936 is 871416.

LCM(931,936) = 871416

LCM of 931 and 936

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

LCM of:
and

Least Common Multiple of 931 and 936

LCM of 931 and 936 is 871416

Least common multiple can be found by multiplying the highest exponent prime factors of 931 and 936. First we will calculate the prime factors of 931 and 936.

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 936


2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 936 are 2, 3,13. Prime factorization of 936 in exponential form is:

936 = 23×32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 931 and 936.

LCM(931,936) = 23×32×72×131×191
LCM(931,936) = 871416

Factors of 931

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

1, 7, 19, 49, 133, 931

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Least Common Multiple of 931 and 936 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 936, than apply into the LCM equation.

GCF(931,936) = 1
LCM(931,936) = ( 931 × 936) / 1
LCM(931,936) = 871416 / 1
LCM(931,936) = 871416

Properties of LCM 931 and 936

(i) The LCM of 936 and 931 is associative

LCM of 931 and 936 = LCM of 936 and 931

Related Least Common Multiples of 931

Related Least Common Multiples of 936

Frequently Asked Questions on LCM of 931 and 936

1. What is the LCM of 931 and 936?

Answer: LCM of 931 and 936 is 871416.

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 936?

Answer: Factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936. There are 24 integers that are factors of 936. The greatest factor of 936 is 936.

4. How to Find the LCM of 931 and 936?

Answer:

Least Common Multiple of 931 and 936 = 871416

Step 1: Find the prime factorization of 931

931 = 7 x 7 x 19

Step 2: Find the prime factorization of 936

936 = 2 x 2 x 2 x 3 x 3 x 13

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

LCM = 871416 = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 13 x 19

Step 4: Therefore, the least common multiple of 931 and 936 is 871416.