Least Common Multiple of 8055 and 8059

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 8059 the smallest integer that is 64915245 that is divisible by both numbers.

Least Common Multiple (LCM) of 8055 and 8059 is 64915245.

LCM(8055,8059) = 64915245

LCM of 8055 and 8059

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

LCM of:
and

Least Common Multiple of 8055 and 8059

LCM of 8055 and 8059 is 64915245

Least common multiple can be found by multiplying the highest exponent prime factors of 8055 and 8059. First we will calculate the prime factors of 8055 and 8059.

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 8059


8059 8059
1

Prime factors of 8059 are 8059. Prime factorization of 8059 in exponential form is:

8059 = 80591

Now multiplying the highest exponent prime factors to calculate the LCM of 8055 and 8059.

LCM(8055,8059) = 32×51×1791×80591
LCM(8055,8059) = 64915245

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 8059

List of positive integer factors of 8059 that divides 8059 without a remainder.

1, 8059

Least Common Multiple of 8055 and 8059 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 8059, than apply into the LCM equation.

GCF(8055,8059) = 1
LCM(8055,8059) = ( 8055 × 8059) / 1
LCM(8055,8059) = 64915245 / 1
LCM(8055,8059) = 64915245

Properties of LCM 8055 and 8059

(i) The LCM of 8059 and 8055 is associative

LCM of 8055 and 8059 = LCM of 8059 and 8055

Related Least Common Multiples of 8055

Related Least Common Multiples of 8059

Frequently Asked Questions on LCM of 8055 and 8059

1. What is the LCM of 8055 and 8059?

Answer: LCM of 8055 and 8059 is 64915245.

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 8059?

Answer: Factors of 8059 are 1, 8059. There are 2 integers that are factors of 8059. The greatest factor of 8059 is 8059.

4. How to Find the LCM of 8055 and 8059?

Answer:

Least Common Multiple of 8055 and 8059 = 64915245

Step 1: Find the prime factorization of 8055

8055 = 3 x 3 x 5 x 179

Step 2: Find the prime factorization of 8059

8059 = 8059

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

LCM = 64915245 = 3 x 3 x 5 x 179 x 8059

Step 4: Therefore, the least common multiple of 8055 and 8059 is 64915245.