Least Common Multiple of 8055 and 8062

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 8062 the smallest integer that is 64939410 that is divisible by both numbers.

Least Common Multiple (LCM) of 8055 and 8062 is 64939410.

LCM(8055,8062) = 64939410

LCM of 8055 and 8062

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

LCM of:
and

Least Common Multiple of 8055 and 8062

LCM of 8055 and 8062 is 64939410

Least common multiple can be found by multiplying the highest exponent prime factors of 8055 and 8062. First we will calculate the prime factors of 8055 and 8062.

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 8062


2 8062
29 4031
139 139
1

Prime factors of 8062 are 2, 29,139. Prime factorization of 8062 in exponential form is:

8062 = 21×291×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 8055 and 8062.

LCM(8055,8062) = 21×32×51×291×1391×1791
LCM(8055,8062) = 64939410

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 8062

List of positive integer factors of 8062 that divides 8062 without a remainder.

1, 2, 29, 58, 139, 278, 4031, 8062

Least Common Multiple of 8055 and 8062 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 8062, than apply into the LCM equation.

GCF(8055,8062) = 1
LCM(8055,8062) = ( 8055 × 8062) / 1
LCM(8055,8062) = 64939410 / 1
LCM(8055,8062) = 64939410

Properties of LCM 8055 and 8062

(i) The LCM of 8062 and 8055 is associative

LCM of 8055 and 8062 = LCM of 8062 and 8055

Related Least Common Multiples of 8055

Related Least Common Multiples of 8062

Frequently Asked Questions on LCM of 8055 and 8062

1. What is the LCM of 8055 and 8062?

Answer: LCM of 8055 and 8062 is 64939410.

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 8062?

Answer: Factors of 8062 are 1, 2, 29, 58, 139, 278, 4031, 8062. There are 8 integers that are factors of 8062. The greatest factor of 8062 is 8062.

4. How to Find the LCM of 8055 and 8062?

Answer:

Least Common Multiple of 8055 and 8062 = 64939410

Step 1: Find the prime factorization of 8055

8055 = 3 x 3 x 5 x 179

Step 2: Find the prime factorization of 8062

8062 = 2 x 29 x 139

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

LCM = 64939410 = 2 x 3 x 3 x 5 x 29 x 139 x 179

Step 4: Therefore, the least common multiple of 8055 and 8062 is 64939410.