Least Common Multiple of 8055 and 8063

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 8063 the smallest integer that is 64947465 that is divisible by both numbers.

Least Common Multiple (LCM) of 8055 and 8063 is 64947465.

LCM(8055,8063) = 64947465

LCM of 8055 and 8063

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

LCM of:
and

Least Common Multiple of 8055 and 8063

LCM of 8055 and 8063 is 64947465

Least common multiple can be found by multiplying the highest exponent prime factors of 8055 and 8063. First we will calculate the prime factors of 8055 and 8063.

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 8063


11 8063
733 733
1

Prime factors of 8063 are 11,733. Prime factorization of 8063 in exponential form is:

8063 = 111×7331

Now multiplying the highest exponent prime factors to calculate the LCM of 8055 and 8063.

LCM(8055,8063) = 32×51×111×1791×7331
LCM(8055,8063) = 64947465

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 8063

List of positive integer factors of 8063 that divides 8063 without a remainder.

1, 11, 733, 8063

Least Common Multiple of 8055 and 8063 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 8063, than apply into the LCM equation.

GCF(8055,8063) = 1
LCM(8055,8063) = ( 8055 × 8063) / 1
LCM(8055,8063) = 64947465 / 1
LCM(8055,8063) = 64947465

Properties of LCM 8055 and 8063

(i) The LCM of 8063 and 8055 is associative

LCM of 8055 and 8063 = LCM of 8063 and 8055

Related Least Common Multiples of 8055

Related Least Common Multiples of 8063

Frequently Asked Questions on LCM of 8055 and 8063

1. What is the LCM of 8055 and 8063?

Answer: LCM of 8055 and 8063 is 64947465.

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 8063?

Answer: Factors of 8063 are 1, 11, 733, 8063. There are 4 integers that are factors of 8063. The greatest factor of 8063 is 8063.

4. How to Find the LCM of 8055 and 8063?

Answer:

Least Common Multiple of 8055 and 8063 = 64947465

Step 1: Find the prime factorization of 8055

8055 = 3 x 3 x 5 x 179

Step 2: Find the prime factorization of 8063

8063 = 11 x 733

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

LCM = 64947465 = 3 x 3 x 5 x 11 x 179 x 733

Step 4: Therefore, the least common multiple of 8055 and 8063 is 64947465.