Least Common Multiple of 8026 and 8032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8026 and 8032 the smallest integer that is 32232416 that is divisible by both numbers.

Least Common Multiple (LCM) of 8026 and 8032 is 32232416.

LCM(8026,8032) = 32232416

LCM of 8026 and 8032

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

LCM of:
and

Least Common Multiple of 8026 and 8032

LCM of 8026 and 8032 is 32232416

Least common multiple can be found by multiplying the highest exponent prime factors of 8026 and 8032. First we will calculate the prime factors of 8026 and 8032.

Prime Factorization of 8026


2 8026
4013 4013
1

Prime factors of 8026 are 2,4013. Prime factorization of 8026 in exponential form is:

8026 = 21×40131

Prime Factorization of 8032


2 8032
2 4016
2 2008
2 1004
2 502
251 251
1

Prime factors of 8032 are 2,251. Prime factorization of 8032 in exponential form is:

8032 = 25×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 8026 and 8032.

LCM(8026,8032) = 25×2511×40131
LCM(8026,8032) = 32232416

Factors of 8026

List of positive integer factors of 8026 that divides 8026 without a remainder.

1, 2, 4013, 8026

Factors of 8032

List of positive integer factors of 8032 that divides 8032 without a remainder.

1, 2, 4, 8, 16, 32, 251, 502, 1004, 2008, 4016, 8032

Least Common Multiple of 8026 and 8032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8026 and 8032, than apply into the LCM equation.

GCF(8026,8032) = 2
LCM(8026,8032) = ( 8026 × 8032) / 2
LCM(8026,8032) = 64464832 / 2
LCM(8026,8032) = 32232416

Properties of LCM 8026 and 8032

(i) The LCM of 8032 and 8026 is associative

LCM of 8026 and 8032 = LCM of 8032 and 8026

Related Least Common Multiples of 8026

Related Least Common Multiples of 8032

Frequently Asked Questions on LCM of 8026 and 8032

1. What is the LCM of 8026 and 8032?

Answer: LCM of 8026 and 8032 is 32232416.

2. What are the Factors of 8026?

Answer: Factors of 8026 are 1, 2, 4013, 8026. There are 4 integers that are factors of 8026. The greatest factor of 8026 is 8026.

3. What are the Factors of 8032?

Answer: Factors of 8032 are 1, 2, 4, 8, 16, 32, 251, 502, 1004, 2008, 4016, 8032. There are 12 integers that are factors of 8032. The greatest factor of 8032 is 8032.

4. How to Find the LCM of 8026 and 8032?

Answer:

Least Common Multiple of 8026 and 8032 = 32232416

Step 1: Find the prime factorization of 8026

8026 = 2 x 4013

Step 2: Find the prime factorization of 8032

8032 = 2 x 2 x 2 x 2 x 2 x 251

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

LCM = 32232416 = 2 x 2 x 2 x 2 x 2 x 251 x 4013

Step 4: Therefore, the least common multiple of 8026 and 8032 is 32232416.