Least Common Multiple of 8924 and 8932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8924 and 8932 the smallest integer that is 19927292 that is divisible by both numbers.

Least Common Multiple (LCM) of 8924 and 8932 is 19927292.

LCM(8924,8932) = 19927292

LCM of 8924 and 8932

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

LCM of:
and

Least Common Multiple of 8924 and 8932

LCM of 8924 and 8932 is 19927292

Least common multiple can be found by multiplying the highest exponent prime factors of 8924 and 8932. First we will calculate the prime factors of 8924 and 8932.

Prime Factorization of 8924


2 8924
2 4462
23 2231
97 97
1

Prime factors of 8924 are 2, 23,97. Prime factorization of 8924 in exponential form is:

8924 = 22×231×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8924 and 8932.

LCM(8924,8932) = 22×71×111×231×291×971
LCM(8924,8932) = 19927292

Factors of 8924

List of positive integer factors of 8924 that divides 8924 without a remainder.

1, 2, 4, 23, 46, 92, 97, 194, 388, 2231, 4462, 8924

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

Least Common Multiple of 8924 and 8932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8924 and 8932, than apply into the LCM equation.

GCF(8924,8932) = 4
LCM(8924,8932) = ( 8924 × 8932) / 4
LCM(8924,8932) = 79709168 / 4
LCM(8924,8932) = 19927292

Properties of LCM 8924 and 8932

(i) The LCM of 8932 and 8924 is associative

LCM of 8924 and 8932 = LCM of 8932 and 8924

Related Least Common Multiples of 8924

Related Least Common Multiples of 8932

Frequently Asked Questions on LCM of 8924 and 8932

1. What is the LCM of 8924 and 8932?

Answer: LCM of 8924 and 8932 is 19927292.

2. What are the Factors of 8924?

Answer: Factors of 8924 are 1, 2, 4, 23, 46, 92, 97, 194, 388, 2231, 4462, 8924. There are 12 integers that are factors of 8924. The greatest factor of 8924 is 8924.

3. 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.

4. How to Find the LCM of 8924 and 8932?

Answer:

Least Common Multiple of 8924 and 8932 = 19927292

Step 1: Find the prime factorization of 8924

8924 = 2 x 2 x 23 x 97

Step 2: Find the prime factorization of 8932

8932 = 2 x 2 x 7 x 11 x 29

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

LCM = 19927292 = 2 x 2 x 7 x 11 x 23 x 29 x 97

Step 4: Therefore, the least common multiple of 8924 and 8932 is 19927292.