Least Common Multiple of 8052 and 8058

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8052 and 8058 the smallest integer that is 10813836 that is divisible by both numbers.

Least Common Multiple (LCM) of 8052 and 8058 is 10813836.

LCM(8052,8058) = 10813836

LCM of 8052 and 8058

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

LCM of:
and

Least Common Multiple of 8052 and 8058

LCM of 8052 and 8058 is 10813836

Least common multiple can be found by multiplying the highest exponent prime factors of 8052 and 8058. First we will calculate the prime factors of 8052 and 8058.

Prime Factorization of 8052


2 8052
2 4026
3 2013
11 671
61 61
1

Prime factors of 8052 are 2, 3, 11,61. Prime factorization of 8052 in exponential form is:

8052 = 22×31×111×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8052 and 8058.

LCM(8052,8058) = 22×31×111×171×611×791
LCM(8052,8058) = 10813836

Factors of 8052

List of positive integer factors of 8052 that divides 8052 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026, 8052

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

Least Common Multiple of 8052 and 8058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8052 and 8058, than apply into the LCM equation.

GCF(8052,8058) = 6
LCM(8052,8058) = ( 8052 × 8058) / 6
LCM(8052,8058) = 64883016 / 6
LCM(8052,8058) = 10813836

Properties of LCM 8052 and 8058

(i) The LCM of 8058 and 8052 is associative

LCM of 8052 and 8058 = LCM of 8058 and 8052

Related Least Common Multiples of 8052

Related Least Common Multiples of 8058

Frequently Asked Questions on LCM of 8052 and 8058

1. What is the LCM of 8052 and 8058?

Answer: LCM of 8052 and 8058 is 10813836.

2. What are the Factors of 8052?

Answer: Factors of 8052 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026, 8052. There are 24 integers that are factors of 8052. The greatest factor of 8052 is 8052.

3. 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.

4. How to Find the LCM of 8052 and 8058?

Answer:

Least Common Multiple of 8052 and 8058 = 10813836

Step 1: Find the prime factorization of 8052

8052 = 2 x 2 x 3 x 11 x 61

Step 2: Find the prime factorization of 8058

8058 = 2 x 3 x 17 x 79

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

LCM = 10813836 = 2 x 2 x 3 x 11 x 17 x 61 x 79

Step 4: Therefore, the least common multiple of 8052 and 8058 is 10813836.