Least Common Multiple of 8034 and 8042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8034 and 8042 the smallest integer that is 32304714 that is divisible by both numbers.

Least Common Multiple (LCM) of 8034 and 8042 is 32304714.

LCM(8034,8042) = 32304714

LCM of 8034 and 8042

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

LCM of:
and

Least Common Multiple of 8034 and 8042

LCM of 8034 and 8042 is 32304714

Least common multiple can be found by multiplying the highest exponent prime factors of 8034 and 8042. First we will calculate the prime factors of 8034 and 8042.

Prime Factorization of 8034


2 8034
3 4017
13 1339
103 103
1

Prime factors of 8034 are 2, 3, 13,103. Prime factorization of 8034 in exponential form is:

8034 = 21×31×131×1031

Prime Factorization of 8042


2 8042
4021 4021
1

Prime factors of 8042 are 2,4021. Prime factorization of 8042 in exponential form is:

8042 = 21×40211

Now multiplying the highest exponent prime factors to calculate the LCM of 8034 and 8042.

LCM(8034,8042) = 21×31×131×1031×40211
LCM(8034,8042) = 32304714

Factors of 8034

List of positive integer factors of 8034 that divides 8034 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034

Factors of 8042

List of positive integer factors of 8042 that divides 8042 without a remainder.

1, 2, 4021, 8042

Least Common Multiple of 8034 and 8042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8034 and 8042, than apply into the LCM equation.

GCF(8034,8042) = 2
LCM(8034,8042) = ( 8034 × 8042) / 2
LCM(8034,8042) = 64609428 / 2
LCM(8034,8042) = 32304714

Properties of LCM 8034 and 8042

(i) The LCM of 8042 and 8034 is associative

LCM of 8034 and 8042 = LCM of 8042 and 8034

Related Least Common Multiples of 8034

Related Least Common Multiples of 8042

Frequently Asked Questions on LCM of 8034 and 8042

1. What is the LCM of 8034 and 8042?

Answer: LCM of 8034 and 8042 is 32304714.

2. What are the Factors of 8034?

Answer: Factors of 8034 are 1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034. There are 16 integers that are factors of 8034. The greatest factor of 8034 is 8034.

3. What are the Factors of 8042?

Answer: Factors of 8042 are 1, 2, 4021, 8042. There are 4 integers that are factors of 8042. The greatest factor of 8042 is 8042.

4. How to Find the LCM of 8034 and 8042?

Answer:

Least Common Multiple of 8034 and 8042 = 32304714

Step 1: Find the prime factorization of 8034

8034 = 2 x 3 x 13 x 103

Step 2: Find the prime factorization of 8042

8042 = 2 x 4021

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

LCM = 32304714 = 2 x 3 x 13 x 103 x 4021

Step 4: Therefore, the least common multiple of 8034 and 8042 is 32304714.