Least Common Multiple of 7067 and 7071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7067 and 7071 the smallest integer that is 49970757 that is divisible by both numbers.

Least Common Multiple (LCM) of 7067 and 7071 is 49970757.

LCM(7067,7071) = 49970757

LCM of 7067 and 7071

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

LCM of:
and

Least Common Multiple of 7067 and 7071

LCM of 7067 and 7071 is 49970757

Least common multiple can be found by multiplying the highest exponent prime factors of 7067 and 7071. First we will calculate the prime factors of 7067 and 7071.

Prime Factorization of 7067


37 7067
191 191
1

Prime factors of 7067 are 37,191. Prime factorization of 7067 in exponential form is:

7067 = 371×1911

Prime Factorization of 7071


3 7071
2357 2357
1

Prime factors of 7071 are 3,2357. Prime factorization of 7071 in exponential form is:

7071 = 31×23571

Now multiplying the highest exponent prime factors to calculate the LCM of 7067 and 7071.

LCM(7067,7071) = 31×371×1911×23571
LCM(7067,7071) = 49970757

Factors of 7067

List of positive integer factors of 7067 that divides 7067 without a remainder.

1, 37, 191, 7067

Factors of 7071

List of positive integer factors of 7071 that divides 7071 without a remainder.

1, 3, 2357, 7071

Least Common Multiple of 7067 and 7071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7067 and 7071, than apply into the LCM equation.

GCF(7067,7071) = 1
LCM(7067,7071) = ( 7067 × 7071) / 1
LCM(7067,7071) = 49970757 / 1
LCM(7067,7071) = 49970757

Properties of LCM 7067 and 7071

(i) The LCM of 7071 and 7067 is associative

LCM of 7067 and 7071 = LCM of 7071 and 7067

Related Least Common Multiples of 7067

Related Least Common Multiples of 7071

Frequently Asked Questions on LCM of 7067 and 7071

1. What is the LCM of 7067 and 7071?

Answer: LCM of 7067 and 7071 is 49970757.

2. What are the Factors of 7067?

Answer: Factors of 7067 are 1, 37, 191, 7067. There are 4 integers that are factors of 7067. The greatest factor of 7067 is 7067.

3. What are the Factors of 7071?

Answer: Factors of 7071 are 1, 3, 2357, 7071. There are 4 integers that are factors of 7071. The greatest factor of 7071 is 7071.

4. How to Find the LCM of 7067 and 7071?

Answer:

Least Common Multiple of 7067 and 7071 = 49970757

Step 1: Find the prime factorization of 7067

7067 = 37 x 191

Step 2: Find the prime factorization of 7071

7071 = 3 x 2357

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

LCM = 49970757 = 3 x 37 x 191 x 2357

Step 4: Therefore, the least common multiple of 7067 and 7071 is 49970757.