Least Common Multiple of 8067 and 8072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8067 and 8072 the smallest integer that is 65116824 that is divisible by both numbers.

Least Common Multiple (LCM) of 8067 and 8072 is 65116824.

LCM(8067,8072) = 65116824

LCM of 8067 and 8072

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

LCM of:
and

Least Common Multiple of 8067 and 8072

LCM of 8067 and 8072 is 65116824

Least common multiple can be found by multiplying the highest exponent prime factors of 8067 and 8072. First we will calculate the prime factors of 8067 and 8072.

Prime Factorization of 8067


3 8067
2689 2689
1

Prime factors of 8067 are 3,2689. Prime factorization of 8067 in exponential form is:

8067 = 31×26891

Prime Factorization of 8072


2 8072
2 4036
2 2018
1009 1009
1

Prime factors of 8072 are 2,1009. Prime factorization of 8072 in exponential form is:

8072 = 23×10091

Now multiplying the highest exponent prime factors to calculate the LCM of 8067 and 8072.

LCM(8067,8072) = 23×31×10091×26891
LCM(8067,8072) = 65116824

Factors of 8067

List of positive integer factors of 8067 that divides 8067 without a remainder.

1, 3, 2689, 8067

Factors of 8072

List of positive integer factors of 8072 that divides 8072 without a remainder.

1, 2, 4, 8, 1009, 2018, 4036, 8072

Least Common Multiple of 8067 and 8072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8067 and 8072, than apply into the LCM equation.

GCF(8067,8072) = 1
LCM(8067,8072) = ( 8067 × 8072) / 1
LCM(8067,8072) = 65116824 / 1
LCM(8067,8072) = 65116824

Properties of LCM 8067 and 8072

(i) The LCM of 8072 and 8067 is associative

LCM of 8067 and 8072 = LCM of 8072 and 8067

Related Least Common Multiples of 8067

Related Least Common Multiples of 8072

Frequently Asked Questions on LCM of 8067 and 8072

1. What is the LCM of 8067 and 8072?

Answer: LCM of 8067 and 8072 is 65116824.

2. What are the Factors of 8067?

Answer: Factors of 8067 are 1, 3, 2689, 8067. There are 4 integers that are factors of 8067. The greatest factor of 8067 is 8067.

3. What are the Factors of 8072?

Answer: Factors of 8072 are 1, 2, 4, 8, 1009, 2018, 4036, 8072. There are 8 integers that are factors of 8072. The greatest factor of 8072 is 8072.

4. How to Find the LCM of 8067 and 8072?

Answer:

Least Common Multiple of 8067 and 8072 = 65116824

Step 1: Find the prime factorization of 8067

8067 = 3 x 2689

Step 2: Find the prime factorization of 8072

8072 = 2 x 2 x 2 x 1009

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

LCM = 65116824 = 2 x 2 x 2 x 3 x 1009 x 2689

Step 4: Therefore, the least common multiple of 8067 and 8072 is 65116824.