Least Common Multiple of 8055 and 8061

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8055 and 8061 the smallest integer that is 21643785 that is divisible by both numbers.

Least Common Multiple (LCM) of 8055 and 8061 is 21643785.

LCM(8055,8061) = 21643785

LCM of 8055 and 8061

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

LCM of:
and

Least Common Multiple of 8055 and 8061

LCM of 8055 and 8061 is 21643785

Least common multiple can be found by multiplying the highest exponent prime factors of 8055 and 8061. First we will calculate the prime factors of 8055 and 8061.

Prime Factorization of 8055


3 8055
3 2685
5 895
179 179
1

Prime factors of 8055 are 3, 5,179. Prime factorization of 8055 in exponential form is:

8055 = 32×51×1791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8055 and 8061.

LCM(8055,8061) = 32×51×1791×26871
LCM(8055,8061) = 21643785

Factors of 8055

List of positive integer factors of 8055 that divides 8055 without a remainder.

1, 3, 5, 9, 15, 45, 179, 537, 895, 1611, 2685, 8055

Factors of 8061

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

1, 3, 2687, 8061

Least Common Multiple of 8055 and 8061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8055 and 8061, than apply into the LCM equation.

GCF(8055,8061) = 3
LCM(8055,8061) = ( 8055 × 8061) / 3
LCM(8055,8061) = 64931355 / 3
LCM(8055,8061) = 21643785

Properties of LCM 8055 and 8061

(i) The LCM of 8061 and 8055 is associative

LCM of 8055 and 8061 = LCM of 8061 and 8055

Related Least Common Multiples of 8055

Related Least Common Multiples of 8061

Frequently Asked Questions on LCM of 8055 and 8061

1. What is the LCM of 8055 and 8061?

Answer: LCM of 8055 and 8061 is 21643785.

2. What are the Factors of 8055?

Answer: Factors of 8055 are 1, 3, 5, 9, 15, 45, 179, 537, 895, 1611, 2685, 8055. There are 12 integers that are factors of 8055. The greatest factor of 8055 is 8055.

3. 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.

4. How to Find the LCM of 8055 and 8061?

Answer:

Least Common Multiple of 8055 and 8061 = 21643785

Step 1: Find the prime factorization of 8055

8055 = 3 x 3 x 5 x 179

Step 2: Find the prime factorization of 8061

8061 = 3 x 2687

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

LCM = 21643785 = 3 x 3 x 5 x 179 x 2687

Step 4: Therefore, the least common multiple of 8055 and 8061 is 21643785.