Least Common Multiple of 8932 and 8936

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 8936 the smallest integer that is 19954088 that is divisible by both numbers.

Least Common Multiple (LCM) of 8932 and 8936 is 19954088.

LCM(8932,8936) = 19954088

LCM of 8932 and 8936

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

LCM of:
and

Least Common Multiple of 8932 and 8936

LCM of 8932 and 8936 is 19954088

Least common multiple can be found by multiplying the highest exponent prime factors of 8932 and 8936. First we will calculate the prime factors of 8932 and 8936.

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 8936


2 8936
2 4468
2 2234
1117 1117
1

Prime factors of 8936 are 2,1117. Prime factorization of 8936 in exponential form is:

8936 = 23×11171

Now multiplying the highest exponent prime factors to calculate the LCM of 8932 and 8936.

LCM(8932,8936) = 23×71×111×291×11171
LCM(8932,8936) = 19954088

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 8936

List of positive integer factors of 8936 that divides 8936 without a remainder.

1, 2, 4, 8, 1117, 2234, 4468, 8936

Least Common Multiple of 8932 and 8936 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 8936, than apply into the LCM equation.

GCF(8932,8936) = 4
LCM(8932,8936) = ( 8932 × 8936) / 4
LCM(8932,8936) = 79816352 / 4
LCM(8932,8936) = 19954088

Properties of LCM 8932 and 8936

(i) The LCM of 8936 and 8932 is associative

LCM of 8932 and 8936 = LCM of 8936 and 8932

Related Least Common Multiples of 8932

Related Least Common Multiples of 8936

Frequently Asked Questions on LCM of 8932 and 8936

1. What is the LCM of 8932 and 8936?

Answer: LCM of 8932 and 8936 is 19954088.

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 8936?

Answer: Factors of 8936 are 1, 2, 4, 8, 1117, 2234, 4468, 8936. There are 8 integers that are factors of 8936. The greatest factor of 8936 is 8936.

4. How to Find the LCM of 8932 and 8936?

Answer:

Least Common Multiple of 8932 and 8936 = 19954088

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 8936

8936 = 2 x 2 x 2 x 1117

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

LCM = 19954088 = 2 x 2 x 2 x 7 x 11 x 29 x 1117

Step 4: Therefore, the least common multiple of 8932 and 8936 is 19954088.