Least Common Multiple of 931 and 935

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 935 the smallest integer that is 870485 that is divisible by both numbers.

Least Common Multiple (LCM) of 931 and 935 is 870485.

LCM(931,935) = 870485

LCM of 931 and 935

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

LCM of:
and

Least Common Multiple of 931 and 935

LCM of 931 and 935 is 870485

Least common multiple can be found by multiplying the highest exponent prime factors of 931 and 935. First we will calculate the prime factors of 931 and 935.

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 935


5 935
11 187
17 17
1

Prime factors of 935 are 5, 11,17. Prime factorization of 935 in exponential form is:

935 = 51×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 931 and 935.

LCM(931,935) = 51×72×111×171×191
LCM(931,935) = 870485

Factors of 931

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

1, 7, 19, 49, 133, 931

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Least Common Multiple of 931 and 935 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 935, than apply into the LCM equation.

GCF(931,935) = 1
LCM(931,935) = ( 931 × 935) / 1
LCM(931,935) = 870485 / 1
LCM(931,935) = 870485

Properties of LCM 931 and 935

(i) The LCM of 935 and 931 is associative

LCM of 931 and 935 = LCM of 935 and 931

Related Least Common Multiples of 931

Related Least Common Multiples of 935

Frequently Asked Questions on LCM of 931 and 935

1. What is the LCM of 931 and 935?

Answer: LCM of 931 and 935 is 870485.

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 935?

Answer: Factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935. There are 8 integers that are factors of 935. The greatest factor of 935 is 935.

4. How to Find the LCM of 931 and 935?

Answer:

Least Common Multiple of 931 and 935 = 870485

Step 1: Find the prime factorization of 931

931 = 7 x 7 x 19

Step 2: Find the prime factorization of 935

935 = 5 x 11 x 17

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

LCM = 870485 = 5 x 7 x 7 x 11 x 17 x 19

Step 4: Therefore, the least common multiple of 931 and 935 is 870485.