Least Common Multiple of 929 and 932

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 932 the smallest integer that is 865828 that is divisible by both numbers.

Least Common Multiple (LCM) of 929 and 932 is 865828.

LCM(929,932) = 865828

LCM of 929 and 932

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

LCM of:
and

Least Common Multiple of 929 and 932

LCM of 929 and 932 is 865828

Least common multiple can be found by multiplying the highest exponent prime factors of 929 and 932. First we will calculate the prime factors of 929 and 932.

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 932


2 932
2 466
233 233
1

Prime factors of 932 are 2,233. Prime factorization of 932 in exponential form is:

932 = 22×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 929 and 932.

LCM(929,932) = 22×2331×9291
LCM(929,932) = 865828

Factors of 929

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

1, 929

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Least Common Multiple of 929 and 932 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 932, than apply into the LCM equation.

GCF(929,932) = 1
LCM(929,932) = ( 929 × 932) / 1
LCM(929,932) = 865828 / 1
LCM(929,932) = 865828

Properties of LCM 929 and 932

(i) The LCM of 932 and 929 is associative

LCM of 929 and 932 = LCM of 932 and 929

Related Least Common Multiples of 929

Related Least Common Multiples of 932

Frequently Asked Questions on LCM of 929 and 932

1. What is the LCM of 929 and 932?

Answer: LCM of 929 and 932 is 865828.

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 932?

Answer: Factors of 932 are 1, 2, 4, 233, 466, 932. There are 6 integers that are factors of 932. The greatest factor of 932 is 932.

4. How to Find the LCM of 929 and 932?

Answer:

Least Common Multiple of 929 and 932 = 865828

Step 1: Find the prime factorization of 929

929 = 929

Step 2: Find the prime factorization of 932

932 = 2 x 2 x 233

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

LCM = 865828 = 2 x 2 x 233 x 929

Step 4: Therefore, the least common multiple of 929 and 932 is 865828.