Least Common Multiple of 8063 and 8068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 8063 and 8068 the smallest integer that is 65052284 that is divisible by both numbers.

Least Common Multiple (LCM) of 8063 and 8068 is 65052284.

LCM(8063,8068) = 65052284

LCM of 8063 and 8068

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

LCM of:
and

Least Common Multiple of 8063 and 8068

LCM of 8063 and 8068 is 65052284

Least common multiple can be found by multiplying the highest exponent prime factors of 8063 and 8068. First we will calculate the prime factors of 8063 and 8068.

Prime Factorization of 8063


11 8063
733 733
1

Prime factors of 8063 are 11,733. Prime factorization of 8063 in exponential form is:

8063 = 111×7331

Prime Factorization of 8068


2 8068
2 4034
2017 2017
1

Prime factors of 8068 are 2,2017. Prime factorization of 8068 in exponential form is:

8068 = 22×20171

Now multiplying the highest exponent prime factors to calculate the LCM of 8063 and 8068.

LCM(8063,8068) = 22×111×7331×20171
LCM(8063,8068) = 65052284

Factors of 8063

List of positive integer factors of 8063 that divides 8063 without a remainder.

1, 11, 733, 8063

Factors of 8068

List of positive integer factors of 8068 that divides 8068 without a remainder.

1, 2, 4, 2017, 4034, 8068

Least Common Multiple of 8063 and 8068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8063 and 8068, than apply into the LCM equation.

GCF(8063,8068) = 1
LCM(8063,8068) = ( 8063 × 8068) / 1
LCM(8063,8068) = 65052284 / 1
LCM(8063,8068) = 65052284

Properties of LCM 8063 and 8068

(i) The LCM of 8068 and 8063 is associative

LCM of 8063 and 8068 = LCM of 8068 and 8063

Frequently Asked Questions on LCM of 8063 and 8068

1. What is the LCM of 8063 and 8068?

Answer: LCM of 8063 and 8068 is 65052284.

2. What are the Factors of 8063?

Answer: Factors of 8063 are 1, 11, 733, 8063. There are 4 integers that are factors of 8063. The greatest factor of 8063 is 8063.

3. What are the Factors of 8068?

Answer: Factors of 8068 are 1, 2, 4, 2017, 4034, 8068. There are 6 integers that are factors of 8068. The greatest factor of 8068 is 8068.

4. How to Find the LCM of 8063 and 8068?

Answer:

Least Common Multiple of 8063 and 8068 = 65052284

Step 1: Find the prime factorization of 8063

8063 = 11 x 733

Step 2: Find the prime factorization of 8068

8068 = 2 x 2 x 2017

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

LCM = 65052284 = 2 x 2 x 11 x 733 x 2017

Step 4: Therefore, the least common multiple of 8063 and 8068 is 65052284.