Least Common Multiple of 8078 and 8084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8078 and 8084 the smallest integer that is 32651276 that is divisible by both numbers.

Least Common Multiple (LCM) of 8078 and 8084 is 32651276.

LCM(8078,8084) = 32651276

LCM of 8078 and 8084

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

LCM of:
and

Least Common Multiple of 8078 and 8084

LCM of 8078 and 8084 is 32651276

Least common multiple can be found by multiplying the highest exponent prime factors of 8078 and 8084. First we will calculate the prime factors of 8078 and 8084.

Prime Factorization of 8078


2 8078
7 4039
577 577
1

Prime factors of 8078 are 2, 7,577. Prime factorization of 8078 in exponential form is:

8078 = 21×71×5771

Prime Factorization of 8084


2 8084
2 4042
43 2021
47 47
1

Prime factors of 8084 are 2, 43,47. Prime factorization of 8084 in exponential form is:

8084 = 22×431×471

Now multiplying the highest exponent prime factors to calculate the LCM of 8078 and 8084.

LCM(8078,8084) = 22×71×431×471×5771
LCM(8078,8084) = 32651276

Factors of 8078

List of positive integer factors of 8078 that divides 8078 without a remainder.

1, 2, 7, 14, 577, 1154, 4039, 8078

Factors of 8084

List of positive integer factors of 8084 that divides 8084 without a remainder.

1, 2, 4, 43, 47, 86, 94, 172, 188, 2021, 4042, 8084

Least Common Multiple of 8078 and 8084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8078 and 8084, than apply into the LCM equation.

GCF(8078,8084) = 2
LCM(8078,8084) = ( 8078 × 8084) / 2
LCM(8078,8084) = 65302552 / 2
LCM(8078,8084) = 32651276

Properties of LCM 8078 and 8084

(i) The LCM of 8084 and 8078 is associative

LCM of 8078 and 8084 = LCM of 8084 and 8078

Related Least Common Multiples of 8078

Related Least Common Multiples of 8084

Frequently Asked Questions on LCM of 8078 and 8084

1. What is the LCM of 8078 and 8084?

Answer: LCM of 8078 and 8084 is 32651276.

2. What are the Factors of 8078?

Answer: Factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078. There are 8 integers that are factors of 8078. The greatest factor of 8078 is 8078.

3. What are the Factors of 8084?

Answer: Factors of 8084 are 1, 2, 4, 43, 47, 86, 94, 172, 188, 2021, 4042, 8084. There are 12 integers that are factors of 8084. The greatest factor of 8084 is 8084.

4. How to Find the LCM of 8078 and 8084?

Answer:

Least Common Multiple of 8078 and 8084 = 32651276

Step 1: Find the prime factorization of 8078

8078 = 2 x 7 x 577

Step 2: Find the prime factorization of 8084

8084 = 2 x 2 x 43 x 47

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

LCM = 32651276 = 2 x 2 x 7 x 43 x 47 x 577

Step 4: Therefore, the least common multiple of 8078 and 8084 is 32651276.