Least Common Multiple of 8929 and 8930

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 8930 the smallest integer that is 79735970 that is divisible by both numbers.

Least Common Multiple (LCM) of 8929 and 8930 is 79735970.

LCM(8929,8930) = 79735970

LCM of 8929 and 8930

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

LCM of:
and

Least Common Multiple of 8929 and 8930

LCM of 8929 and 8930 is 79735970

Least common multiple can be found by multiplying the highest exponent prime factors of 8929 and 8930. First we will calculate the prime factors of 8929 and 8930.

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 8930


2 8930
5 4465
19 893
47 47
1

Prime factors of 8930 are 2, 5, 19,47. Prime factorization of 8930 in exponential form is:

8930 = 21×51×191×471

Now multiplying the highest exponent prime factors to calculate the LCM of 8929 and 8930.

LCM(8929,8930) = 21×51×191×471×89291
LCM(8929,8930) = 79735970

Factors of 8929

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

1, 8929

Factors of 8930

List of positive integer factors of 8930 that divides 8930 without a remainder.

1, 2, 5, 10, 19, 38, 47, 94, 95, 190, 235, 470, 893, 1786, 4465, 8930

Least Common Multiple of 8929 and 8930 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 8930, than apply into the LCM equation.

GCF(8929,8930) = 1
LCM(8929,8930) = ( 8929 × 8930) / 1
LCM(8929,8930) = 79735970 / 1
LCM(8929,8930) = 79735970

Properties of LCM 8929 and 8930

(i) The LCM of 8930 and 8929 is associative

LCM of 8929 and 8930 = LCM of 8930 and 8929

Related Least Common Multiples of 8929

Related Least Common Multiples of 8930

Frequently Asked Questions on LCM of 8929 and 8930

1. What is the LCM of 8929 and 8930?

Answer: LCM of 8929 and 8930 is 79735970.

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 8930?

Answer: Factors of 8930 are 1, 2, 5, 10, 19, 38, 47, 94, 95, 190, 235, 470, 893, 1786, 4465, 8930. There are 16 integers that are factors of 8930. The greatest factor of 8930 is 8930.

4. How to Find the LCM of 8929 and 8930?

Answer:

Least Common Multiple of 8929 and 8930 = 79735970

Step 1: Find the prime factorization of 8929

8929 = 8929

Step 2: Find the prime factorization of 8930

8930 = 2 x 5 x 19 x 47

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

LCM = 79735970 = 2 x 5 x 19 x 47 x 8929

Step 4: Therefore, the least common multiple of 8929 and 8930 is 79735970.