Least Common Multiple of 8930 and 8935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8930 and 8935 the smallest integer that is 15957910 that is divisible by both numbers.

Least Common Multiple (LCM) of 8930 and 8935 is 15957910.

LCM(8930,8935) = 15957910

LCM of 8930 and 8935

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

LCM of:
and

Least Common Multiple of 8930 and 8935

LCM of 8930 and 8935 is 15957910

Least common multiple can be found by multiplying the highest exponent prime factors of 8930 and 8935. First we will calculate the prime factors of 8930 and 8935.

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

Prime Factorization of 8935


5 8935
1787 1787
1

Prime factors of 8935 are 5,1787. Prime factorization of 8935 in exponential form is:

8935 = 51×17871

Now multiplying the highest exponent prime factors to calculate the LCM of 8930 and 8935.

LCM(8930,8935) = 21×51×191×471×17871
LCM(8930,8935) = 15957910

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

Factors of 8935

List of positive integer factors of 8935 that divides 8935 without a remainder.

1, 5, 1787, 8935

Least Common Multiple of 8930 and 8935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8930 and 8935, than apply into the LCM equation.

GCF(8930,8935) = 5
LCM(8930,8935) = ( 8930 × 8935) / 5
LCM(8930,8935) = 79789550 / 5
LCM(8930,8935) = 15957910

Properties of LCM 8930 and 8935

(i) The LCM of 8935 and 8930 is associative

LCM of 8930 and 8935 = LCM of 8935 and 8930

Related Least Common Multiples of 8930

Related Least Common Multiples of 8935

Frequently Asked Questions on LCM of 8930 and 8935

1. What is the LCM of 8930 and 8935?

Answer: LCM of 8930 and 8935 is 15957910.

2. 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.

3. What are the Factors of 8935?

Answer: Factors of 8935 are 1, 5, 1787, 8935. There are 4 integers that are factors of 8935. The greatest factor of 8935 is 8935.

4. How to Find the LCM of 8930 and 8935?

Answer:

Least Common Multiple of 8930 and 8935 = 15957910

Step 1: Find the prime factorization of 8930

8930 = 2 x 5 x 19 x 47

Step 2: Find the prime factorization of 8935

8935 = 5 x 1787

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

LCM = 15957910 = 2 x 5 x 19 x 47 x 1787

Step 4: Therefore, the least common multiple of 8930 and 8935 is 15957910.