Least Common Multiple of 8065 and 8067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8065 and 8067 the smallest integer that is 65060355 that is divisible by both numbers.

Least Common Multiple (LCM) of 8065 and 8067 is 65060355.

LCM(8065,8067) = 65060355

LCM of 8065 and 8067

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

LCM of:
and

Least Common Multiple of 8065 and 8067

LCM of 8065 and 8067 is 65060355

Least common multiple can be found by multiplying the highest exponent prime factors of 8065 and 8067. First we will calculate the prime factors of 8065 and 8067.

Prime Factorization of 8065


5 8065
1613 1613
1

Prime factors of 8065 are 5,1613. Prime factorization of 8065 in exponential form is:

8065 = 51×16131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8065 and 8067.

LCM(8065,8067) = 31×51×16131×26891
LCM(8065,8067) = 65060355

Factors of 8065

List of positive integer factors of 8065 that divides 8065 without a remainder.

1, 5, 1613, 8065

Factors of 8067

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

1, 3, 2689, 8067

Least Common Multiple of 8065 and 8067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8065 and 8067, than apply into the LCM equation.

GCF(8065,8067) = 1
LCM(8065,8067) = ( 8065 × 8067) / 1
LCM(8065,8067) = 65060355 / 1
LCM(8065,8067) = 65060355

Properties of LCM 8065 and 8067

(i) The LCM of 8067 and 8065 is associative

LCM of 8065 and 8067 = LCM of 8067 and 8065

Related Least Common Multiples of 8065

Related Least Common Multiples of 8067

Frequently Asked Questions on LCM of 8065 and 8067

1. What is the LCM of 8065 and 8067?

Answer: LCM of 8065 and 8067 is 65060355.

2. What are the Factors of 8065?

Answer: Factors of 8065 are 1, 5, 1613, 8065. There are 4 integers that are factors of 8065. The greatest factor of 8065 is 8065.

3. 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.

4. How to Find the LCM of 8065 and 8067?

Answer:

Least Common Multiple of 8065 and 8067 = 65060355

Step 1: Find the prime factorization of 8065

8065 = 5 x 1613

Step 2: Find the prime factorization of 8067

8067 = 3 x 2689

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

LCM = 65060355 = 3 x 5 x 1613 x 2689

Step 4: Therefore, the least common multiple of 8065 and 8067 is 65060355.