Least Common Multiple of 8061 and 8069

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8061 and 8069 the smallest integer that is 65044209 that is divisible by both numbers.

Least Common Multiple (LCM) of 8061 and 8069 is 65044209.

LCM(8061,8069) = 65044209

LCM of 8061 and 8069

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

LCM of:
and

Least Common Multiple of 8061 and 8069

LCM of 8061 and 8069 is 65044209

Least common multiple can be found by multiplying the highest exponent prime factors of 8061 and 8069. First we will calculate the prime factors of 8061 and 8069.

Prime Factorization of 8061


3 8061
2687 2687
1

Prime factors of 8061 are 3,2687. Prime factorization of 8061 in exponential form is:

8061 = 31×26871

Prime Factorization of 8069


8069 8069
1

Prime factors of 8069 are 8069. Prime factorization of 8069 in exponential form is:

8069 = 80691

Now multiplying the highest exponent prime factors to calculate the LCM of 8061 and 8069.

LCM(8061,8069) = 31×26871×80691
LCM(8061,8069) = 65044209

Factors of 8061

List of positive integer factors of 8061 that divides 8061 without a remainder.

1, 3, 2687, 8061

Factors of 8069

List of positive integer factors of 8069 that divides 8069 without a remainder.

1, 8069

Least Common Multiple of 8061 and 8069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8061 and 8069, than apply into the LCM equation.

GCF(8061,8069) = 1
LCM(8061,8069) = ( 8061 × 8069) / 1
LCM(8061,8069) = 65044209 / 1
LCM(8061,8069) = 65044209

Properties of LCM 8061 and 8069

(i) The LCM of 8069 and 8061 is associative

LCM of 8061 and 8069 = LCM of 8069 and 8061

Related Least Common Multiples of 8061

Related Least Common Multiples of 8069

Frequently Asked Questions on LCM of 8061 and 8069

1. What is the LCM of 8061 and 8069?

Answer: LCM of 8061 and 8069 is 65044209.

2. What are the Factors of 8061?

Answer: Factors of 8061 are 1, 3, 2687, 8061. There are 4 integers that are factors of 8061. The greatest factor of 8061 is 8061.

3. What are the Factors of 8069?

Answer: Factors of 8069 are 1, 8069. There are 2 integers that are factors of 8069. The greatest factor of 8069 is 8069.

4. How to Find the LCM of 8061 and 8069?

Answer:

Least Common Multiple of 8061 and 8069 = 65044209

Step 1: Find the prime factorization of 8061

8061 = 3 x 2687

Step 2: Find the prime factorization of 8069

8069 = 8069

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

LCM = 65044209 = 3 x 2687 x 8069

Step 4: Therefore, the least common multiple of 8061 and 8069 is 65044209.