Least Common Multiple of 931 and 934

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 934 the smallest integer that is 869554 that is divisible by both numbers.

Least Common Multiple (LCM) of 931 and 934 is 869554.

LCM(931,934) = 869554

LCM of 931 and 934

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

LCM of:
and

Least Common Multiple of 931 and 934

LCM of 931 and 934 is 869554

Least common multiple can be found by multiplying the highest exponent prime factors of 931 and 934. First we will calculate the prime factors of 931 and 934.

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 934


2 934
467 467
1

Prime factors of 934 are 2,467. Prime factorization of 934 in exponential form is:

934 = 21×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 931 and 934.

LCM(931,934) = 21×72×191×4671
LCM(931,934) = 869554

Factors of 931

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

1, 7, 19, 49, 133, 931

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Least Common Multiple of 931 and 934 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 934, than apply into the LCM equation.

GCF(931,934) = 1
LCM(931,934) = ( 931 × 934) / 1
LCM(931,934) = 869554 / 1
LCM(931,934) = 869554

Properties of LCM 931 and 934

(i) The LCM of 934 and 931 is associative

LCM of 931 and 934 = LCM of 934 and 931

Related Least Common Multiples of 931

Related Least Common Multiples of 934

Frequently Asked Questions on LCM of 931 and 934

1. What is the LCM of 931 and 934?

Answer: LCM of 931 and 934 is 869554.

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 934?

Answer: Factors of 934 are 1, 2, 467, 934. There are 4 integers that are factors of 934. The greatest factor of 934 is 934.

4. How to Find the LCM of 931 and 934?

Answer:

Least Common Multiple of 931 and 934 = 869554

Step 1: Find the prime factorization of 931

931 = 7 x 7 x 19

Step 2: Find the prime factorization of 934

934 = 2 x 467

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

LCM = 869554 = 2 x 7 x 7 x 19 x 467

Step 4: Therefore, the least common multiple of 931 and 934 is 869554.