Least Common Multiple of 8932 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 8932 and 8934 the smallest integer that is 39899244 that is divisible by both numbers.

Least Common Multiple (LCM) of 8932 and 8934 is 39899244.

LCM(8932,8934) = 39899244

LCM of 8932 and 8934

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

LCM of:
and

Least Common Multiple of 8932 and 8934

LCM of 8932 and 8934 is 39899244

Least common multiple can be found by multiplying the highest exponent prime factors of 8932 and 8934. First we will calculate the prime factors of 8932 and 8934.

Prime Factorization of 8932


2 8932
2 4466
7 2233
11 319
29 29
1

Prime factors of 8932 are 2, 7, 11,29. Prime factorization of 8932 in exponential form is:

8932 = 22×71×111×291

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 8932 and 8934.

LCM(8932,8934) = 22×31×71×111×291×14891
LCM(8932,8934) = 39899244

Factors of 8932

List of positive integer factors of 8932 that divides 8932 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 154, 203, 308, 319, 406, 638, 812, 1276, 2233, 4466, 8932

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 8932 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 8932 and 8934, than apply into the LCM equation.

GCF(8932,8934) = 2
LCM(8932,8934) = ( 8932 × 8934) / 2
LCM(8932,8934) = 79798488 / 2
LCM(8932,8934) = 39899244

Properties of LCM 8932 and 8934

(i) The LCM of 8934 and 8932 is associative

LCM of 8932 and 8934 = LCM of 8934 and 8932

Related Least Common Multiples of 8932

Related Least Common Multiples of 8934

Frequently Asked Questions on LCM of 8932 and 8934

1. What is the LCM of 8932 and 8934?

Answer: LCM of 8932 and 8934 is 39899244.

2. What are the Factors of 8932?

Answer: Factors of 8932 are 1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 154, 203, 308, 319, 406, 638, 812, 1276, 2233, 4466, 8932. There are 24 integers that are factors of 8932. The greatest factor of 8932 is 8932.

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 8932 and 8934?

Answer:

Least Common Multiple of 8932 and 8934 = 39899244

Step 1: Find the prime factorization of 8932

8932 = 2 x 2 x 7 x 11 x 29

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 = 39899244 = 2 x 2 x 3 x 7 x 11 x 29 x 1489

Step 4: Therefore, the least common multiple of 8932 and 8934 is 39899244.