Least Common Multiple of 929 and 933

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 933 the smallest integer that is 866757 that is divisible by both numbers.

Least Common Multiple (LCM) of 929 and 933 is 866757.

LCM(929,933) = 866757

LCM of 929 and 933

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

LCM of:
and

Least Common Multiple of 929 and 933

LCM of 929 and 933 is 866757

Least common multiple can be found by multiplying the highest exponent prime factors of 929 and 933. First we will calculate the prime factors of 929 and 933.

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 933


3 933
311 311
1

Prime factors of 933 are 3,311. Prime factorization of 933 in exponential form is:

933 = 31×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 929 and 933.

LCM(929,933) = 31×3111×9291
LCM(929,933) = 866757

Factors of 929

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

1, 929

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Least Common Multiple of 929 and 933 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 933, than apply into the LCM equation.

GCF(929,933) = 1
LCM(929,933) = ( 929 × 933) / 1
LCM(929,933) = 866757 / 1
LCM(929,933) = 866757

Properties of LCM 929 and 933

(i) The LCM of 933 and 929 is associative

LCM of 929 and 933 = LCM of 933 and 929

Related Least Common Multiples of 929

Related Least Common Multiples of 933

Frequently Asked Questions on LCM of 929 and 933

1. What is the LCM of 929 and 933?

Answer: LCM of 929 and 933 is 866757.

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 933?

Answer: Factors of 933 are 1, 3, 311, 933. There are 4 integers that are factors of 933. The greatest factor of 933 is 933.

4. How to Find the LCM of 929 and 933?

Answer:

Least Common Multiple of 929 and 933 = 866757

Step 1: Find the prime factorization of 929

929 = 929

Step 2: Find the prime factorization of 933

933 = 3 x 311

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

LCM = 866757 = 3 x 311 x 929

Step 4: Therefore, the least common multiple of 929 and 933 is 866757.