Least Common Multiple of 7081 and 7084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7081 and 7084 the smallest integer that is 50161804 that is divisible by both numbers.

Least Common Multiple (LCM) of 7081 and 7084 is 50161804.

LCM(7081,7084) = 50161804

LCM of 7081 and 7084

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

LCM of:
and

Least Common Multiple of 7081 and 7084

LCM of 7081 and 7084 is 50161804

Least common multiple can be found by multiplying the highest exponent prime factors of 7081 and 7084. First we will calculate the prime factors of 7081 and 7084.

Prime Factorization of 7081


73 7081
97 97
1

Prime factors of 7081 are 73,97. Prime factorization of 7081 in exponential form is:

7081 = 731×971

Prime Factorization of 7084


2 7084
2 3542
7 1771
11 253
23 23
1

Prime factors of 7084 are 2, 7, 11,23. Prime factorization of 7084 in exponential form is:

7084 = 22×71×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 7081 and 7084.

LCM(7081,7084) = 22×71×111×231×731×971
LCM(7081,7084) = 50161804

Factors of 7081

List of positive integer factors of 7081 that divides 7081 without a remainder.

1, 73, 97, 7081

Factors of 7084

List of positive integer factors of 7084 that divides 7084 without a remainder.

1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084

Least Common Multiple of 7081 and 7084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7081 and 7084, than apply into the LCM equation.

GCF(7081,7084) = 1
LCM(7081,7084) = ( 7081 × 7084) / 1
LCM(7081,7084) = 50161804 / 1
LCM(7081,7084) = 50161804

Properties of LCM 7081 and 7084

(i) The LCM of 7084 and 7081 is associative

LCM of 7081 and 7084 = LCM of 7084 and 7081

Related Least Common Multiples of 7081

Related Least Common Multiples of 7084

Frequently Asked Questions on LCM of 7081 and 7084

1. What is the LCM of 7081 and 7084?

Answer: LCM of 7081 and 7084 is 50161804.

2. What are the Factors of 7081?

Answer: Factors of 7081 are 1, 73, 97, 7081. There are 4 integers that are factors of 7081. The greatest factor of 7081 is 7081.

3. What are the Factors of 7084?

Answer: Factors of 7084 are 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084. There are 24 integers that are factors of 7084. The greatest factor of 7084 is 7084.

4. How to Find the LCM of 7081 and 7084?

Answer:

Least Common Multiple of 7081 and 7084 = 50161804

Step 1: Find the prime factorization of 7081

7081 = 73 x 97

Step 2: Find the prime factorization of 7084

7084 = 2 x 2 x 7 x 11 x 23

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

LCM = 50161804 = 2 x 2 x 7 x 11 x 23 x 73 x 97

Step 4: Therefore, the least common multiple of 7081 and 7084 is 50161804.