Least Common Multiple of 8071 and 8078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8071 and 8078 the smallest integer that is 9313934 that is divisible by both numbers.

Least Common Multiple (LCM) of 8071 and 8078 is 9313934.

LCM(8071,8078) = 9313934

LCM of 8071 and 8078

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

LCM of:
and

Least Common Multiple of 8071 and 8078

LCM of 8071 and 8078 is 9313934

Least common multiple can be found by multiplying the highest exponent prime factors of 8071 and 8078. First we will calculate the prime factors of 8071 and 8078.

Prime Factorization of 8071


7 8071
1153 1153
1

Prime factors of 8071 are 7,1153. Prime factorization of 8071 in exponential form is:

8071 = 71×11531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8071 and 8078.

LCM(8071,8078) = 21×71×5771×11531
LCM(8071,8078) = 9313934

Factors of 8071

List of positive integer factors of 8071 that divides 8071 without a remainder.

1, 7, 1153, 8071

Factors of 8078

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

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

Least Common Multiple of 8071 and 8078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8071 and 8078, than apply into the LCM equation.

GCF(8071,8078) = 7
LCM(8071,8078) = ( 8071 × 8078) / 7
LCM(8071,8078) = 65197538 / 7
LCM(8071,8078) = 9313934

Properties of LCM 8071 and 8078

(i) The LCM of 8078 and 8071 is associative

LCM of 8071 and 8078 = LCM of 8078 and 8071

Related Least Common Multiples of 8071

Related Least Common Multiples of 8078

Frequently Asked Questions on LCM of 8071 and 8078

1. What is the LCM of 8071 and 8078?

Answer: LCM of 8071 and 8078 is 9313934.

2. What are the Factors of 8071?

Answer: Factors of 8071 are 1, 7, 1153, 8071. There are 4 integers that are factors of 8071. The greatest factor of 8071 is 8071.

3. 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.

4. How to Find the LCM of 8071 and 8078?

Answer:

Least Common Multiple of 8071 and 8078 = 9313934

Step 1: Find the prime factorization of 8071

8071 = 7 x 1153

Step 2: Find the prime factorization of 8078

8078 = 2 x 7 x 577

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

LCM = 9313934 = 2 x 7 x 577 x 1153

Step 4: Therefore, the least common multiple of 8071 and 8078 is 9313934.