Least Common Multiple of 931 and 939

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 939 the smallest integer that is 874209 that is divisible by both numbers.

Least Common Multiple (LCM) of 931 and 939 is 874209.

LCM(931,939) = 874209

LCM of 931 and 939

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

LCM of:
and

Least Common Multiple of 931 and 939

LCM of 931 and 939 is 874209

Least common multiple can be found by multiplying the highest exponent prime factors of 931 and 939. First we will calculate the prime factors of 931 and 939.

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 939


3 939
313 313
1

Prime factors of 939 are 3,313. Prime factorization of 939 in exponential form is:

939 = 31×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 931 and 939.

LCM(931,939) = 31×72×191×3131
LCM(931,939) = 874209

Factors of 931

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

1, 7, 19, 49, 133, 931

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Least Common Multiple of 931 and 939 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 939, than apply into the LCM equation.

GCF(931,939) = 1
LCM(931,939) = ( 931 × 939) / 1
LCM(931,939) = 874209 / 1
LCM(931,939) = 874209

Properties of LCM 931 and 939

(i) The LCM of 939 and 931 is associative

LCM of 931 and 939 = LCM of 939 and 931

Related Least Common Multiples of 931

Related Least Common Multiples of 939

Frequently Asked Questions on LCM of 931 and 939

1. What is the LCM of 931 and 939?

Answer: LCM of 931 and 939 is 874209.

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 939?

Answer: Factors of 939 are 1, 3, 313, 939. There are 4 integers that are factors of 939. The greatest factor of 939 is 939.

4. How to Find the LCM of 931 and 939?

Answer:

Least Common Multiple of 931 and 939 = 874209

Step 1: Find the prime factorization of 931

931 = 7 x 7 x 19

Step 2: Find the prime factorization of 939

939 = 3 x 313

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

LCM = 874209 = 3 x 7 x 7 x 19 x 313

Step 4: Therefore, the least common multiple of 931 and 939 is 874209.