Least Common Multiple of 8058 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 8058 and 8066 the smallest integer that is 32497914 that is divisible by both numbers.

Least Common Multiple (LCM) of 8058 and 8066 is 32497914.

LCM(8058,8066) = 32497914

LCM of 8058 and 8066

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

LCM of:
and

Least Common Multiple of 8058 and 8066

LCM of 8058 and 8066 is 32497914

Least common multiple can be found by multiplying the highest exponent prime factors of 8058 and 8066. First we will calculate the prime factors of 8058 and 8066.

Prime Factorization of 8058


2 8058
3 4029
17 1343
79 79
1

Prime factors of 8058 are 2, 3, 17,79. Prime factorization of 8058 in exponential form is:

8058 = 21×31×171×791

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 8058 and 8066.

LCM(8058,8066) = 21×31×171×371×791×1091
LCM(8058,8066) = 32497914

Factors of 8058

List of positive integer factors of 8058 that divides 8058 without a remainder.

1, 2, 3, 6, 17, 34, 51, 79, 102, 158, 237, 474, 1343, 2686, 4029, 8058

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 8058 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 8058 and 8066, than apply into the LCM equation.

GCF(8058,8066) = 2
LCM(8058,8066) = ( 8058 × 8066) / 2
LCM(8058,8066) = 64995828 / 2
LCM(8058,8066) = 32497914

Properties of LCM 8058 and 8066

(i) The LCM of 8066 and 8058 is associative

LCM of 8058 and 8066 = LCM of 8066 and 8058

Related Least Common Multiples of 8058

Related Least Common Multiples of 8066

Frequently Asked Questions on LCM of 8058 and 8066

1. What is the LCM of 8058 and 8066?

Answer: LCM of 8058 and 8066 is 32497914.

2. What are the Factors of 8058?

Answer: Factors of 8058 are 1, 2, 3, 6, 17, 34, 51, 79, 102, 158, 237, 474, 1343, 2686, 4029, 8058. There are 16 integers that are factors of 8058. The greatest factor of 8058 is 8058.

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 8058 and 8066?

Answer:

Least Common Multiple of 8058 and 8066 = 32497914

Step 1: Find the prime factorization of 8058

8058 = 2 x 3 x 17 x 79

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 = 32497914 = 2 x 3 x 17 x 37 x 79 x 109

Step 4: Therefore, the least common multiple of 8058 and 8066 is 32497914.