Least Common Multiple of 8934 and 8942

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 8942 the smallest integer that is 39943914 that is divisible by both numbers.

Least Common Multiple (LCM) of 8934 and 8942 is 39943914.

LCM(8934,8942) = 39943914

LCM of 8934 and 8942

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

LCM of:
and

Least Common Multiple of 8934 and 8942

LCM of 8934 and 8942 is 39943914

Least common multiple can be found by multiplying the highest exponent prime factors of 8934 and 8942. First we will calculate the prime factors of 8934 and 8942.

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 8942


2 8942
17 4471
263 263
1

Prime factors of 8942 are 2, 17,263. Prime factorization of 8942 in exponential form is:

8942 = 21×171×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 8934 and 8942.

LCM(8934,8942) = 21×31×171×2631×14891
LCM(8934,8942) = 39943914

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 8942

List of positive integer factors of 8942 that divides 8942 without a remainder.

1, 2, 17, 34, 263, 526, 4471, 8942

Least Common Multiple of 8934 and 8942 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 8942, than apply into the LCM equation.

GCF(8934,8942) = 2
LCM(8934,8942) = ( 8934 × 8942) / 2
LCM(8934,8942) = 79887828 / 2
LCM(8934,8942) = 39943914

Properties of LCM 8934 and 8942

(i) The LCM of 8942 and 8934 is associative

LCM of 8934 and 8942 = LCM of 8942 and 8934

Related Least Common Multiples of 8934

Related Least Common Multiples of 8942

Frequently Asked Questions on LCM of 8934 and 8942

1. What is the LCM of 8934 and 8942?

Answer: LCM of 8934 and 8942 is 39943914.

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 8942?

Answer: Factors of 8942 are 1, 2, 17, 34, 263, 526, 4471, 8942. There are 8 integers that are factors of 8942. The greatest factor of 8942 is 8942.

4. How to Find the LCM of 8934 and 8942?

Answer:

Least Common Multiple of 8934 and 8942 = 39943914

Step 1: Find the prime factorization of 8934

8934 = 2 x 3 x 1489

Step 2: Find the prime factorization of 8942

8942 = 2 x 17 x 263

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

LCM = 39943914 = 2 x 3 x 17 x 263 x 1489

Step 4: Therefore, the least common multiple of 8934 and 8942 is 39943914.