Least Common Multiple of 8932 and 8935

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 8935 the smallest integer that is 79807420 that is divisible by both numbers.

Least Common Multiple (LCM) of 8932 and 8935 is 79807420.

LCM(8932,8935) = 79807420

LCM of 8932 and 8935

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

LCM of:
and

Least Common Multiple of 8932 and 8935

LCM of 8932 and 8935 is 79807420

Least common multiple can be found by multiplying the highest exponent prime factors of 8932 and 8935. First we will calculate the prime factors of 8932 and 8935.

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 8935


5 8935
1787 1787
1

Prime factors of 8935 are 5,1787. Prime factorization of 8935 in exponential form is:

8935 = 51×17871

Now multiplying the highest exponent prime factors to calculate the LCM of 8932 and 8935.

LCM(8932,8935) = 22×51×71×111×291×17871
LCM(8932,8935) = 79807420

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 8935

List of positive integer factors of 8935 that divides 8935 without a remainder.

1, 5, 1787, 8935

Least Common Multiple of 8932 and 8935 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 8935, than apply into the LCM equation.

GCF(8932,8935) = 1
LCM(8932,8935) = ( 8932 × 8935) / 1
LCM(8932,8935) = 79807420 / 1
LCM(8932,8935) = 79807420

Properties of LCM 8932 and 8935

(i) The LCM of 8935 and 8932 is associative

LCM of 8932 and 8935 = LCM of 8935 and 8932

Related Least Common Multiples of 8932

Related Least Common Multiples of 8935

Frequently Asked Questions on LCM of 8932 and 8935

1. What is the LCM of 8932 and 8935?

Answer: LCM of 8932 and 8935 is 79807420.

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 8935?

Answer: Factors of 8935 are 1, 5, 1787, 8935. There are 4 integers that are factors of 8935. The greatest factor of 8935 is 8935.

4. How to Find the LCM of 8932 and 8935?

Answer:

Least Common Multiple of 8932 and 8935 = 79807420

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 8935

8935 = 5 x 1787

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

LCM = 79807420 = 2 x 2 x 5 x 7 x 11 x 29 x 1787

Step 4: Therefore, the least common multiple of 8932 and 8935 is 79807420.