Least Common Multiple of 7071 and 7073

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7071 and 7073 the smallest integer that is 50013183 that is divisible by both numbers.

Least Common Multiple (LCM) of 7071 and 7073 is 50013183.

LCM(7071,7073) = 50013183

LCM of 7071 and 7073

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

LCM of:
and

Least Common Multiple of 7071 and 7073

LCM of 7071 and 7073 is 50013183

Least common multiple can be found by multiplying the highest exponent prime factors of 7071 and 7073. First we will calculate the prime factors of 7071 and 7073.

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

Prime Factorization of 7073


11 7073
643 643
1

Prime factors of 7073 are 11,643. Prime factorization of 7073 in exponential form is:

7073 = 111×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 7071 and 7073.

LCM(7071,7073) = 31×111×6431×23571
LCM(7071,7073) = 50013183

Factors of 7071

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

1, 3, 2357, 7071

Factors of 7073

List of positive integer factors of 7073 that divides 7073 without a remainder.

1, 11, 643, 7073

Least Common Multiple of 7071 and 7073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7071 and 7073, than apply into the LCM equation.

GCF(7071,7073) = 1
LCM(7071,7073) = ( 7071 × 7073) / 1
LCM(7071,7073) = 50013183 / 1
LCM(7071,7073) = 50013183

Properties of LCM 7071 and 7073

(i) The LCM of 7073 and 7071 is associative

LCM of 7071 and 7073 = LCM of 7073 and 7071

Related Least Common Multiples of 7071

Related Least Common Multiples of 7073

Frequently Asked Questions on LCM of 7071 and 7073

1. What is the LCM of 7071 and 7073?

Answer: LCM of 7071 and 7073 is 50013183.

2. 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.

3. What are the Factors of 7073?

Answer: Factors of 7073 are 1, 11, 643, 7073. There are 4 integers that are factors of 7073. The greatest factor of 7073 is 7073.

4. How to Find the LCM of 7071 and 7073?

Answer:

Least Common Multiple of 7071 and 7073 = 50013183

Step 1: Find the prime factorization of 7071

7071 = 3 x 2357

Step 2: Find the prime factorization of 7073

7073 = 11 x 643

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

LCM = 50013183 = 3 x 11 x 643 x 2357

Step 4: Therefore, the least common multiple of 7071 and 7073 is 50013183.