Least Common Multiple of 7070 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 7070 and 7071 the smallest integer that is 49991970 that is divisible by both numbers.

Least Common Multiple (LCM) of 7070 and 7071 is 49991970.

LCM(7070,7071) = 49991970

LCM of 7070 and 7071

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

LCM of:
and

Least Common Multiple of 7070 and 7071

LCM of 7070 and 7071 is 49991970

Least common multiple can be found by multiplying the highest exponent prime factors of 7070 and 7071. First we will calculate the prime factors of 7070 and 7071.

Prime Factorization of 7070


2 7070
5 3535
7 707
101 101
1

Prime factors of 7070 are 2, 5, 7,101. Prime factorization of 7070 in exponential form is:

7070 = 21×51×71×1011

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 7070 and 7071.

LCM(7070,7071) = 21×31×51×71×1011×23571
LCM(7070,7071) = 49991970

Factors of 7070

List of positive integer factors of 7070 that divides 7070 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535, 7070

Factors of 7071

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

1, 3, 2357, 7071

Least Common Multiple of 7070 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 7070 and 7071, than apply into the LCM equation.

GCF(7070,7071) = 1
LCM(7070,7071) = ( 7070 × 7071) / 1
LCM(7070,7071) = 49991970 / 1
LCM(7070,7071) = 49991970

Properties of LCM 7070 and 7071

(i) The LCM of 7071 and 7070 is associative

LCM of 7070 and 7071 = LCM of 7071 and 7070

Related Least Common Multiples of 7070

Related Least Common Multiples of 7071

Frequently Asked Questions on LCM of 7070 and 7071

1. What is the LCM of 7070 and 7071?

Answer: LCM of 7070 and 7071 is 49991970.

2. What are the Factors of 7070?

Answer: Factors of 7070 are 1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535, 7070. There are 16 integers that are factors of 7070. The greatest factor of 7070 is 7070.

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 7070 and 7071?

Answer:

Least Common Multiple of 7070 and 7071 = 49991970

Step 1: Find the prime factorization of 7070

7070 = 2 x 5 x 7 x 101

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 = 49991970 = 2 x 3 x 5 x 7 x 101 x 2357

Step 4: Therefore, the least common multiple of 7070 and 7071 is 49991970.