Least Common Multiple of 8934 and 8939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8934 and 8939 the smallest integer that is 79861026 that is divisible by both numbers.

Least Common Multiple (LCM) of 8934 and 8939 is 79861026.

LCM(8934,8939) = 79861026

LCM of 8934 and 8939

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

LCM of:
and

Least Common Multiple of 8934 and 8939

LCM of 8934 and 8939 is 79861026

Least common multiple can be found by multiplying the highest exponent prime factors of 8934 and 8939. First we will calculate the prime factors of 8934 and 8939.

Prime Factorization of 8934


2 8934
3 4467
1489 1489
1

Prime factors of 8934 are 2, 3,1489. Prime factorization of 8934 in exponential form is:

8934 = 21×31×14891

Prime Factorization of 8939


7 8939
1277 1277
1

Prime factors of 8939 are 7,1277. Prime factorization of 8939 in exponential form is:

8939 = 71×12771

Now multiplying the highest exponent prime factors to calculate the LCM of 8934 and 8939.

LCM(8934,8939) = 21×31×71×12771×14891
LCM(8934,8939) = 79861026

Factors of 8934

List of positive integer factors of 8934 that divides 8934 without a remainder.

1, 2, 3, 6, 1489, 2978, 4467, 8934

Factors of 8939

List of positive integer factors of 8939 that divides 8939 without a remainder.

1, 7, 1277, 8939

Least Common Multiple of 8934 and 8939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8934 and 8939, than apply into the LCM equation.

GCF(8934,8939) = 1
LCM(8934,8939) = ( 8934 × 8939) / 1
LCM(8934,8939) = 79861026 / 1
LCM(8934,8939) = 79861026

Properties of LCM 8934 and 8939

(i) The LCM of 8939 and 8934 is associative

LCM of 8934 and 8939 = LCM of 8939 and 8934

Related Least Common Multiples of 8934

Related Least Common Multiples of 8939

Frequently Asked Questions on LCM of 8934 and 8939

1. What is the LCM of 8934 and 8939?

Answer: LCM of 8934 and 8939 is 79861026.

2. What are the Factors of 8934?

Answer: Factors of 8934 are 1, 2, 3, 6, 1489, 2978, 4467, 8934. There are 8 integers that are factors of 8934. The greatest factor of 8934 is 8934.

3. What are the Factors of 8939?

Answer: Factors of 8939 are 1, 7, 1277, 8939. There are 4 integers that are factors of 8939. The greatest factor of 8939 is 8939.

4. How to Find the LCM of 8934 and 8939?

Answer:

Least Common Multiple of 8934 and 8939 = 79861026

Step 1: Find the prime factorization of 8934

8934 = 2 x 3 x 1489

Step 2: Find the prime factorization of 8939

8939 = 7 x 1277

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

LCM = 79861026 = 2 x 3 x 7 x 1277 x 1489

Step 4: Therefore, the least common multiple of 8934 and 8939 is 79861026.