Least Common Multiple of 8932 and 8940

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 8940 the smallest integer that is 19963020 that is divisible by both numbers.

Least Common Multiple (LCM) of 8932 and 8940 is 19963020.

LCM(8932,8940) = 19963020

LCM of 8932 and 8940

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

LCM of:
and

Least Common Multiple of 8932 and 8940

LCM of 8932 and 8940 is 19963020

Least common multiple can be found by multiplying the highest exponent prime factors of 8932 and 8940. First we will calculate the prime factors of 8932 and 8940.

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 8940


2 8940
2 4470
3 2235
5 745
149 149
1

Prime factors of 8940 are 2, 3, 5,149. Prime factorization of 8940 in exponential form is:

8940 = 22×31×51×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 8932 and 8940.

LCM(8932,8940) = 22×31×51×71×111×291×1491
LCM(8932,8940) = 19963020

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 8940

List of positive integer factors of 8940 that divides 8940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 4470, 8940

Least Common Multiple of 8932 and 8940 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 8940, than apply into the LCM equation.

GCF(8932,8940) = 4
LCM(8932,8940) = ( 8932 × 8940) / 4
LCM(8932,8940) = 79852080 / 4
LCM(8932,8940) = 19963020

Properties of LCM 8932 and 8940

(i) The LCM of 8940 and 8932 is associative

LCM of 8932 and 8940 = LCM of 8940 and 8932

Related Least Common Multiples of 8932

Related Least Common Multiples of 8940

Frequently Asked Questions on LCM of 8932 and 8940

1. What is the LCM of 8932 and 8940?

Answer: LCM of 8932 and 8940 is 19963020.

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 8940?

Answer: Factors of 8940 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 4470, 8940. There are 24 integers that are factors of 8940. The greatest factor of 8940 is 8940.

4. How to Find the LCM of 8932 and 8940?

Answer:

Least Common Multiple of 8932 and 8940 = 19963020

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 8940

8940 = 2 x 2 x 3 x 5 x 149

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

LCM = 19963020 = 2 x 2 x 3 x 5 x 7 x 11 x 29 x 149

Step 4: Therefore, the least common multiple of 8932 and 8940 is 19963020.