Least Common Multiple of 929 and 931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 929 and 931 the smallest integer that is 864899 that is divisible by both numbers.

Least Common Multiple (LCM) of 929 and 931 is 864899.

LCM(929,931) = 864899

LCM of 929 and 931

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

LCM of:
and

Least Common Multiple of 929 and 931

LCM of 929 and 931 is 864899

Least common multiple can be found by multiplying the highest exponent prime factors of 929 and 931. First we will calculate the prime factors of 929 and 931.

Prime Factorization of 929


929 929
1

Prime factors of 929 are 929. Prime factorization of 929 in exponential form is:

929 = 9291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 929 and 931.

LCM(929,931) = 72×191×9291
LCM(929,931) = 864899

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1, 929

Factors of 931

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

1, 7, 19, 49, 133, 931

Least Common Multiple of 929 and 931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 929 and 931, than apply into the LCM equation.

GCF(929,931) = 1
LCM(929,931) = ( 929 × 931) / 1
LCM(929,931) = 864899 / 1
LCM(929,931) = 864899

Properties of LCM 929 and 931

(i) The LCM of 931 and 929 is associative

LCM of 929 and 931 = LCM of 931 and 929

Related Least Common Multiples of 929

Related Least Common Multiples of 931

Frequently Asked Questions on LCM of 929 and 931

1. What is the LCM of 929 and 931?

Answer: LCM of 929 and 931 is 864899.

2. What are the Factors of 929?

Answer: Factors of 929 are 1, 929. There are 2 integers that are factors of 929. The greatest factor of 929 is 929.

3. 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.

4. How to Find the LCM of 929 and 931?

Answer:

Least Common Multiple of 929 and 931 = 864899

Step 1: Find the prime factorization of 929

929 = 929

Step 2: Find the prime factorization of 931

931 = 7 x 7 x 19

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

LCM = 864899 = 7 x 7 x 19 x 929

Step 4: Therefore, the least common multiple of 929 and 931 is 864899.