Least Common Multiple of 8068 and 8076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8068 and 8076 the smallest integer that is 16289292 that is divisible by both numbers.

Least Common Multiple (LCM) of 8068 and 8076 is 16289292.

LCM(8068,8076) = 16289292

LCM of 8068 and 8076

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

LCM of:
and

Least Common Multiple of 8068 and 8076

LCM of 8068 and 8076 is 16289292

Least common multiple can be found by multiplying the highest exponent prime factors of 8068 and 8076. First we will calculate the prime factors of 8068 and 8076.

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

Prime Factorization of 8076


2 8076
2 4038
3 2019
673 673
1

Prime factors of 8076 are 2, 3,673. Prime factorization of 8076 in exponential form is:

8076 = 22×31×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 8068 and 8076.

LCM(8068,8076) = 22×31×6731×20171
LCM(8068,8076) = 16289292

Factors of 8068

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

1, 2, 4, 2017, 4034, 8068

Factors of 8076

List of positive integer factors of 8076 that divides 8076 without a remainder.

1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076

Least Common Multiple of 8068 and 8076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8068 and 8076, than apply into the LCM equation.

GCF(8068,8076) = 4
LCM(8068,8076) = ( 8068 × 8076) / 4
LCM(8068,8076) = 65157168 / 4
LCM(8068,8076) = 16289292

Properties of LCM 8068 and 8076

(i) The LCM of 8076 and 8068 is associative

LCM of 8068 and 8076 = LCM of 8076 and 8068

Related Least Common Multiples of 8068

Related Least Common Multiples of 8076

Frequently Asked Questions on LCM of 8068 and 8076

1. What is the LCM of 8068 and 8076?

Answer: LCM of 8068 and 8076 is 16289292.

2. 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.

3. What are the Factors of 8076?

Answer: Factors of 8076 are 1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076. There are 12 integers that are factors of 8076. The greatest factor of 8076 is 8076.

4. How to Find the LCM of 8068 and 8076?

Answer:

Least Common Multiple of 8068 and 8076 = 16289292

Step 1: Find the prime factorization of 8068

8068 = 2 x 2 x 2017

Step 2: Find the prime factorization of 8076

8076 = 2 x 2 x 3 x 673

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

LCM = 16289292 = 2 x 2 x 3 x 673 x 2017

Step 4: Therefore, the least common multiple of 8068 and 8076 is 16289292.