Least Common Multiple of 931 and 937

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 937 the smallest integer that is 872347 that is divisible by both numbers.

Least Common Multiple (LCM) of 931 and 937 is 872347.

LCM(931,937) = 872347

LCM of 931 and 937

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

LCM of:
and

Least Common Multiple of 931 and 937

LCM of 931 and 937 is 872347

Least common multiple can be found by multiplying the highest exponent prime factors of 931 and 937. First we will calculate the prime factors of 931 and 937.

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 937


937 937
1

Prime factors of 937 are 937. Prime factorization of 937 in exponential form is:

937 = 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 931 and 937.

LCM(931,937) = 72×191×9371
LCM(931,937) = 872347

Factors of 931

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

1, 7, 19, 49, 133, 931

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1, 937

Least Common Multiple of 931 and 937 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 937, than apply into the LCM equation.

GCF(931,937) = 1
LCM(931,937) = ( 931 × 937) / 1
LCM(931,937) = 872347 / 1
LCM(931,937) = 872347

Properties of LCM 931 and 937

(i) The LCM of 937 and 931 is associative

LCM of 931 and 937 = LCM of 937 and 931

Related Least Common Multiples of 931

Related Least Common Multiples of 937

Frequently Asked Questions on LCM of 931 and 937

1. What is the LCM of 931 and 937?

Answer: LCM of 931 and 937 is 872347.

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 937?

Answer: Factors of 937 are 1, 937. There are 2 integers that are factors of 937. The greatest factor of 937 is 937.

4. How to Find the LCM of 931 and 937?

Answer:

Least Common Multiple of 931 and 937 = 872347

Step 1: Find the prime factorization of 931

931 = 7 x 7 x 19

Step 2: Find the prime factorization of 937

937 = 937

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

LCM = 872347 = 7 x 7 x 19 x 937

Step 4: Therefore, the least common multiple of 931 and 937 is 872347.