Least Common Multiple of 8055 and 8060

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 8060 the smallest integer that is 12984660 that is divisible by both numbers.

Least Common Multiple (LCM) of 8055 and 8060 is 12984660.

LCM(8055,8060) = 12984660

LCM of 8055 and 8060

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

LCM of:
and

Least Common Multiple of 8055 and 8060

LCM of 8055 and 8060 is 12984660

Least common multiple can be found by multiplying the highest exponent prime factors of 8055 and 8060. First we will calculate the prime factors of 8055 and 8060.

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 8060


2 8060
2 4030
5 2015
13 403
31 31
1

Prime factors of 8060 are 2, 5, 13,31. Prime factorization of 8060 in exponential form is:

8060 = 22×51×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 8055 and 8060.

LCM(8055,8060) = 22×32×51×131×311×1791
LCM(8055,8060) = 12984660

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 8060

List of positive integer factors of 8060 that divides 8060 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060

Least Common Multiple of 8055 and 8060 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 8060, than apply into the LCM equation.

GCF(8055,8060) = 5
LCM(8055,8060) = ( 8055 × 8060) / 5
LCM(8055,8060) = 64923300 / 5
LCM(8055,8060) = 12984660

Properties of LCM 8055 and 8060

(i) The LCM of 8060 and 8055 is associative

LCM of 8055 and 8060 = LCM of 8060 and 8055

Related Least Common Multiples of 8055

Related Least Common Multiples of 8060

Frequently Asked Questions on LCM of 8055 and 8060

1. What is the LCM of 8055 and 8060?

Answer: LCM of 8055 and 8060 is 12984660.

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 8060?

Answer: Factors of 8060 are 1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060. There are 24 integers that are factors of 8060. The greatest factor of 8060 is 8060.

4. How to Find the LCM of 8055 and 8060?

Answer:

Least Common Multiple of 8055 and 8060 = 12984660

Step 1: Find the prime factorization of 8055

8055 = 3 x 3 x 5 x 179

Step 2: Find the prime factorization of 8060

8060 = 2 x 2 x 5 x 13 x 31

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

LCM = 12984660 = 2 x 2 x 3 x 3 x 5 x 13 x 31 x 179

Step 4: Therefore, the least common multiple of 8055 and 8060 is 12984660.