Least Common Multiple of 8078 and 8086

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 8086 the smallest integer that is 32659354 that is divisible by both numbers.

Least Common Multiple (LCM) of 8078 and 8086 is 32659354.

LCM(8078,8086) = 32659354

LCM of 8078 and 8086

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

LCM of:
and

Least Common Multiple of 8078 and 8086

LCM of 8078 and 8086 is 32659354

Least common multiple can be found by multiplying the highest exponent prime factors of 8078 and 8086. First we will calculate the prime factors of 8078 and 8086.

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 8086


2 8086
13 4043
311 311
1

Prime factors of 8086 are 2, 13,311. Prime factorization of 8086 in exponential form is:

8086 = 21×131×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 8078 and 8086.

LCM(8078,8086) = 21×71×131×3111×5771
LCM(8078,8086) = 32659354

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 8086

List of positive integer factors of 8086 that divides 8086 without a remainder.

1, 2, 13, 26, 311, 622, 4043, 8086

Least Common Multiple of 8078 and 8086 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 8086, than apply into the LCM equation.

GCF(8078,8086) = 2
LCM(8078,8086) = ( 8078 × 8086) / 2
LCM(8078,8086) = 65318708 / 2
LCM(8078,8086) = 32659354

Properties of LCM 8078 and 8086

(i) The LCM of 8086 and 8078 is associative

LCM of 8078 and 8086 = LCM of 8086 and 8078

Related Least Common Multiples of 8078

Related Least Common Multiples of 8086

Frequently Asked Questions on LCM of 8078 and 8086

1. What is the LCM of 8078 and 8086?

Answer: LCM of 8078 and 8086 is 32659354.

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 8086?

Answer: Factors of 8086 are 1, 2, 13, 26, 311, 622, 4043, 8086. There are 8 integers that are factors of 8086. The greatest factor of 8086 is 8086.

4. How to Find the LCM of 8078 and 8086?

Answer:

Least Common Multiple of 8078 and 8086 = 32659354

Step 1: Find the prime factorization of 8078

8078 = 2 x 7 x 577

Step 2: Find the prime factorization of 8086

8086 = 2 x 13 x 311

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

LCM = 32659354 = 2 x 7 x 13 x 311 x 577

Step 4: Therefore, the least common multiple of 8078 and 8086 is 32659354.