Least Common Multiple of 8026 and 8033

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 8033 the smallest integer that is 64472858 that is divisible by both numbers.

Least Common Multiple (LCM) of 8026 and 8033 is 64472858.

LCM(8026,8033) = 64472858

LCM of 8026 and 8033

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

LCM of:
and

Least Common Multiple of 8026 and 8033

LCM of 8026 and 8033 is 64472858

Least common multiple can be found by multiplying the highest exponent prime factors of 8026 and 8033. First we will calculate the prime factors of 8026 and 8033.

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 8033


29 8033
277 277
1

Prime factors of 8033 are 29,277. Prime factorization of 8033 in exponential form is:

8033 = 291×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 8026 and 8033.

LCM(8026,8033) = 21×291×2771×40131
LCM(8026,8033) = 64472858

Factors of 8026

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

1, 2, 4013, 8026

Factors of 8033

List of positive integer factors of 8033 that divides 8033 without a remainder.

1, 29, 277, 8033

Least Common Multiple of 8026 and 8033 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 8033, than apply into the LCM equation.

GCF(8026,8033) = 1
LCM(8026,8033) = ( 8026 × 8033) / 1
LCM(8026,8033) = 64472858 / 1
LCM(8026,8033) = 64472858

Properties of LCM 8026 and 8033

(i) The LCM of 8033 and 8026 is associative

LCM of 8026 and 8033 = LCM of 8033 and 8026

Related Least Common Multiples of 8026

Related Least Common Multiples of 8033

Frequently Asked Questions on LCM of 8026 and 8033

1. What is the LCM of 8026 and 8033?

Answer: LCM of 8026 and 8033 is 64472858.

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 8033?

Answer: Factors of 8033 are 1, 29, 277, 8033. There are 4 integers that are factors of 8033. The greatest factor of 8033 is 8033.

4. How to Find the LCM of 8026 and 8033?

Answer:

Least Common Multiple of 8026 and 8033 = 64472858

Step 1: Find the prime factorization of 8026

8026 = 2 x 4013

Step 2: Find the prime factorization of 8033

8033 = 29 x 277

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

LCM = 64472858 = 2 x 29 x 277 x 4013

Step 4: Therefore, the least common multiple of 8026 and 8033 is 64472858.