Least Common Multiple of 8060 and 8066

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8060 and 8066 the smallest integer that is 32505980 that is divisible by both numbers.

Least Common Multiple (LCM) of 8060 and 8066 is 32505980.

LCM(8060,8066) = 32505980

LCM of 8060 and 8066

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

LCM of:
and

Least Common Multiple of 8060 and 8066

LCM of 8060 and 8066 is 32505980

Least common multiple can be found by multiplying the highest exponent prime factors of 8060 and 8066. First we will calculate the prime factors of 8060 and 8066.

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

Prime Factorization of 8066


2 8066
37 4033
109 109
1

Prime factors of 8066 are 2, 37,109. Prime factorization of 8066 in exponential form is:

8066 = 21×371×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 8060 and 8066.

LCM(8060,8066) = 22×51×131×311×371×1091
LCM(8060,8066) = 32505980

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

Factors of 8066

List of positive integer factors of 8066 that divides 8066 without a remainder.

1, 2, 37, 74, 109, 218, 4033, 8066

Least Common Multiple of 8060 and 8066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8060 and 8066, than apply into the LCM equation.

GCF(8060,8066) = 2
LCM(8060,8066) = ( 8060 × 8066) / 2
LCM(8060,8066) = 65011960 / 2
LCM(8060,8066) = 32505980

Properties of LCM 8060 and 8066

(i) The LCM of 8066 and 8060 is associative

LCM of 8060 and 8066 = LCM of 8066 and 8060

Related Least Common Multiples of 8060

Related Least Common Multiples of 8066

Frequently Asked Questions on LCM of 8060 and 8066

1. What is the LCM of 8060 and 8066?

Answer: LCM of 8060 and 8066 is 32505980.

2. 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.

3. What are the Factors of 8066?

Answer: Factors of 8066 are 1, 2, 37, 74, 109, 218, 4033, 8066. There are 8 integers that are factors of 8066. The greatest factor of 8066 is 8066.

4. How to Find the LCM of 8060 and 8066?

Answer:

Least Common Multiple of 8060 and 8066 = 32505980

Step 1: Find the prime factorization of 8060

8060 = 2 x 2 x 5 x 13 x 31

Step 2: Find the prime factorization of 8066

8066 = 2 x 37 x 109

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

LCM = 32505980 = 2 x 2 x 5 x 13 x 31 x 37 x 109

Step 4: Therefore, the least common multiple of 8060 and 8066 is 32505980.