Least Common Multiple of 8929 and 8933

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 8933 the smallest integer that is 79762757 that is divisible by both numbers.

Least Common Multiple (LCM) of 8929 and 8933 is 79762757.

LCM(8929,8933) = 79762757

LCM of 8929 and 8933

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

LCM of:
and

Least Common Multiple of 8929 and 8933

LCM of 8929 and 8933 is 79762757

Least common multiple can be found by multiplying the highest exponent prime factors of 8929 and 8933. First we will calculate the prime factors of 8929 and 8933.

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 8933


8933 8933
1

Prime factors of 8933 are 8933. Prime factorization of 8933 in exponential form is:

8933 = 89331

Now multiplying the highest exponent prime factors to calculate the LCM of 8929 and 8933.

LCM(8929,8933) = 89291×89331
LCM(8929,8933) = 79762757

Factors of 8929

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

1, 8929

Factors of 8933

List of positive integer factors of 8933 that divides 8933 without a remainder.

1, 8933

Least Common Multiple of 8929 and 8933 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 8933, than apply into the LCM equation.

GCF(8929,8933) = 1
LCM(8929,8933) = ( 8929 × 8933) / 1
LCM(8929,8933) = 79762757 / 1
LCM(8929,8933) = 79762757

Properties of LCM 8929 and 8933

(i) The LCM of 8933 and 8929 is associative

LCM of 8929 and 8933 = LCM of 8933 and 8929

Related Least Common Multiples of 8929

Related Least Common Multiples of 8933

Frequently Asked Questions on LCM of 8929 and 8933

1. What is the LCM of 8929 and 8933?

Answer: LCM of 8929 and 8933 is 79762757.

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 8933?

Answer: Factors of 8933 are 1, 8933. There are 2 integers that are factors of 8933. The greatest factor of 8933 is 8933.

4. How to Find the LCM of 8929 and 8933?

Answer:

Least Common Multiple of 8929 and 8933 = 79762757

Step 1: Find the prime factorization of 8929

8929 = 8929

Step 2: Find the prime factorization of 8933

8933 = 8933

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

LCM = 79762757 = 8929 x 8933

Step 4: Therefore, the least common multiple of 8929 and 8933 is 79762757.