Least Common Multiple of 8933 and 8934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8933 and 8934 the smallest integer that is 79807422 that is divisible by both numbers.

Least Common Multiple (LCM) of 8933 and 8934 is 79807422.

LCM(8933,8934) = 79807422

LCM of 8933 and 8934

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

LCM of:
and

Least Common Multiple of 8933 and 8934

LCM of 8933 and 8934 is 79807422

Least common multiple can be found by multiplying the highest exponent prime factors of 8933 and 8934. First we will calculate the prime factors of 8933 and 8934.

Prime Factorization of 8933


8933 8933
1

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

8933 = 89331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8933 and 8934.

LCM(8933,8934) = 21×31×14891×89331
LCM(8933,8934) = 79807422

Factors of 8933

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

1, 8933

Factors of 8934

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

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

Least Common Multiple of 8933 and 8934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8933 and 8934, than apply into the LCM equation.

GCF(8933,8934) = 1
LCM(8933,8934) = ( 8933 × 8934) / 1
LCM(8933,8934) = 79807422 / 1
LCM(8933,8934) = 79807422

Properties of LCM 8933 and 8934

(i) The LCM of 8934 and 8933 is associative

LCM of 8933 and 8934 = LCM of 8934 and 8933

Related Least Common Multiples of 8933

Related Least Common Multiples of 8934

Frequently Asked Questions on LCM of 8933 and 8934

1. What is the LCM of 8933 and 8934?

Answer: LCM of 8933 and 8934 is 79807422.

2. 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.

3. 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.

4. How to Find the LCM of 8933 and 8934?

Answer:

Least Common Multiple of 8933 and 8934 = 79807422

Step 1: Find the prime factorization of 8933

8933 = 8933

Step 2: Find the prime factorization of 8934

8934 = 2 x 3 x 1489

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

LCM = 79807422 = 2 x 3 x 1489 x 8933

Step 4: Therefore, the least common multiple of 8933 and 8934 is 79807422.