Least Common Multiple of 8929 and 8932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8929 and 8932 the smallest integer that is 79753828 that is divisible by both numbers.

Least Common Multiple (LCM) of 8929 and 8932 is 79753828.

LCM(8929,8932) = 79753828

LCM of 8929 and 8932

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

LCM of:
and

Least Common Multiple of 8929 and 8932

LCM of 8929 and 8932 is 79753828

Least common multiple can be found by multiplying the highest exponent prime factors of 8929 and 8932. First we will calculate the prime factors of 8929 and 8932.

Prime Factorization of 8929


8929 8929
1

Prime factors of 8929 are 8929. Prime factorization of 8929 in exponential form is:

8929 = 89291

Prime Factorization of 8932


2 8932
2 4466
7 2233
11 319
29 29
1

Prime factors of 8932 are 2, 7, 11,29. Prime factorization of 8932 in exponential form is:

8932 = 22×71×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 8929 and 8932.

LCM(8929,8932) = 22×71×111×291×89291
LCM(8929,8932) = 79753828

Factors of 8929

List of positive integer factors of 8929 that divides 8929 without a remainder.

1, 8929

Factors of 8932

List of positive integer factors of 8932 that divides 8932 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 154, 203, 308, 319, 406, 638, 812, 1276, 2233, 4466, 8932

Least Common Multiple of 8929 and 8932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8929 and 8932, than apply into the LCM equation.

GCF(8929,8932) = 1
LCM(8929,8932) = ( 8929 × 8932) / 1
LCM(8929,8932) = 79753828 / 1
LCM(8929,8932) = 79753828

Properties of LCM 8929 and 8932

(i) The LCM of 8932 and 8929 is associative

LCM of 8929 and 8932 = LCM of 8932 and 8929

Related Least Common Multiples of 8929

Related Least Common Multiples of 8932

Frequently Asked Questions on LCM of 8929 and 8932

1. What is the LCM of 8929 and 8932?

Answer: LCM of 8929 and 8932 is 79753828.

2. What are the Factors of 8929?

Answer: Factors of 8929 are 1, 8929. There are 2 integers that are factors of 8929. The greatest factor of 8929 is 8929.

3. What are the Factors of 8932?

Answer: Factors of 8932 are 1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 154, 203, 308, 319, 406, 638, 812, 1276, 2233, 4466, 8932. There are 24 integers that are factors of 8932. The greatest factor of 8932 is 8932.

4. How to Find the LCM of 8929 and 8932?

Answer:

Least Common Multiple of 8929 and 8932 = 79753828

Step 1: Find the prime factorization of 8929

8929 = 8929

Step 2: Find the prime factorization of 8932

8932 = 2 x 2 x 7 x 11 x 29

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

LCM = 79753828 = 2 x 2 x 7 x 11 x 29 x 8929

Step 4: Therefore, the least common multiple of 8929 and 8932 is 79753828.