Least Common Multiple of 923 and 929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 923 and 929 the smallest integer that is 857467 that is divisible by both numbers.

Least Common Multiple (LCM) of 923 and 929 is 857467.

LCM(923,929) = 857467

LCM of 923 and 929

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

LCM of:
and

Least Common Multiple of 923 and 929

LCM of 923 and 929 is 857467

Least common multiple can be found by multiplying the highest exponent prime factors of 923 and 929. First we will calculate the prime factors of 923 and 929.

Prime Factorization of 923


13 923
71 71
1

Prime factors of 923 are 13,71. Prime factorization of 923 in exponential form is:

923 = 131×711

Prime Factorization of 929


929 929
1

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

929 = 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 923 and 929.

LCM(923,929) = 131×711×9291
LCM(923,929) = 857467

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Factors of 929

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

1, 929

Least Common Multiple of 923 and 929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 923 and 929, than apply into the LCM equation.

GCF(923,929) = 1
LCM(923,929) = ( 923 × 929) / 1
LCM(923,929) = 857467 / 1
LCM(923,929) = 857467

Properties of LCM 923 and 929

(i) The LCM of 929 and 923 is associative

LCM of 923 and 929 = LCM of 929 and 923

Related Least Common Multiples of 923

Related Least Common Multiples of 929

Frequently Asked Questions on LCM of 923 and 929

1. What is the LCM of 923 and 929?

Answer: LCM of 923 and 929 is 857467.

2. What are the Factors of 923?

Answer: Factors of 923 are 1, 13, 71, 923. There are 4 integers that are factors of 923. The greatest factor of 923 is 923.

3. 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.

4. How to Find the LCM of 923 and 929?

Answer:

Least Common Multiple of 923 and 929 = 857467

Step 1: Find the prime factorization of 923

923 = 13 x 71

Step 2: Find the prime factorization of 929

929 = 929

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

LCM = 857467 = 13 x 71 x 929

Step 4: Therefore, the least common multiple of 923 and 929 is 857467.