Least Common Multiple of 7076 and 7081

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7076 and 7081 the smallest integer that is 50105156 that is divisible by both numbers.

Least Common Multiple (LCM) of 7076 and 7081 is 50105156.

LCM(7076,7081) = 50105156

LCM of 7076 and 7081

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

LCM of:
and

Least Common Multiple of 7076 and 7081

LCM of 7076 and 7081 is 50105156

Least common multiple can be found by multiplying the highest exponent prime factors of 7076 and 7081. First we will calculate the prime factors of 7076 and 7081.

Prime Factorization of 7076


2 7076
2 3538
29 1769
61 61
1

Prime factors of 7076 are 2, 29,61. Prime factorization of 7076 in exponential form is:

7076 = 22×291×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7076 and 7081.

LCM(7076,7081) = 22×291×611×731×971
LCM(7076,7081) = 50105156

Factors of 7076

List of positive integer factors of 7076 that divides 7076 without a remainder.

1, 2, 4, 29, 58, 61, 116, 122, 244, 1769, 3538, 7076

Factors of 7081

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

1, 73, 97, 7081

Least Common Multiple of 7076 and 7081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7076 and 7081, than apply into the LCM equation.

GCF(7076,7081) = 1
LCM(7076,7081) = ( 7076 × 7081) / 1
LCM(7076,7081) = 50105156 / 1
LCM(7076,7081) = 50105156

Properties of LCM 7076 and 7081

(i) The LCM of 7081 and 7076 is associative

LCM of 7076 and 7081 = LCM of 7081 and 7076

Related Least Common Multiples of 7076

Related Least Common Multiples of 7081

Frequently Asked Questions on LCM of 7076 and 7081

1. What is the LCM of 7076 and 7081?

Answer: LCM of 7076 and 7081 is 50105156.

2. What are the Factors of 7076?

Answer: Factors of 7076 are 1, 2, 4, 29, 58, 61, 116, 122, 244, 1769, 3538, 7076. There are 12 integers that are factors of 7076. The greatest factor of 7076 is 7076.

3. 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.

4. How to Find the LCM of 7076 and 7081?

Answer:

Least Common Multiple of 7076 and 7081 = 50105156

Step 1: Find the prime factorization of 7076

7076 = 2 x 2 x 29 x 61

Step 2: Find the prime factorization of 7081

7081 = 73 x 97

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

LCM = 50105156 = 2 x 2 x 29 x 61 x 73 x 97

Step 4: Therefore, the least common multiple of 7076 and 7081 is 50105156.