Least Common Multiple of 8066 and 8071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8066 and 8071 the smallest integer that is 65100686 that is divisible by both numbers.

Least Common Multiple (LCM) of 8066 and 8071 is 65100686.

LCM(8066,8071) = 65100686

LCM of 8066 and 8071

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

LCM of:
and

Least Common Multiple of 8066 and 8071

LCM of 8066 and 8071 is 65100686

Least common multiple can be found by multiplying the highest exponent prime factors of 8066 and 8071. First we will calculate the prime factors of 8066 and 8071.

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

Prime Factorization of 8071


7 8071
1153 1153
1

Prime factors of 8071 are 7,1153. Prime factorization of 8071 in exponential form is:

8071 = 71×11531

Now multiplying the highest exponent prime factors to calculate the LCM of 8066 and 8071.

LCM(8066,8071) = 21×71×371×1091×11531
LCM(8066,8071) = 65100686

Factors of 8066

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

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

Factors of 8071

List of positive integer factors of 8071 that divides 8071 without a remainder.

1, 7, 1153, 8071

Least Common Multiple of 8066 and 8071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8066 and 8071, than apply into the LCM equation.

GCF(8066,8071) = 1
LCM(8066,8071) = ( 8066 × 8071) / 1
LCM(8066,8071) = 65100686 / 1
LCM(8066,8071) = 65100686

Properties of LCM 8066 and 8071

(i) The LCM of 8071 and 8066 is associative

LCM of 8066 and 8071 = LCM of 8071 and 8066

Related Least Common Multiples of 8066

Related Least Common Multiples of 8071

Frequently Asked Questions on LCM of 8066 and 8071

1. What is the LCM of 8066 and 8071?

Answer: LCM of 8066 and 8071 is 65100686.

2. 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.

3. What are the Factors of 8071?

Answer: Factors of 8071 are 1, 7, 1153, 8071. There are 4 integers that are factors of 8071. The greatest factor of 8071 is 8071.

4. How to Find the LCM of 8066 and 8071?

Answer:

Least Common Multiple of 8066 and 8071 = 65100686

Step 1: Find the prime factorization of 8066

8066 = 2 x 37 x 109

Step 2: Find the prime factorization of 8071

8071 = 7 x 1153

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

LCM = 65100686 = 2 x 7 x 37 x 109 x 1153

Step 4: Therefore, the least common multiple of 8066 and 8071 is 65100686.