Least Common Multiple of 7076 and 7082

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 7082 the smallest integer that is 25056116 that is divisible by both numbers.

Least Common Multiple (LCM) of 7076 and 7082 is 25056116.

LCM(7076,7082) = 25056116

LCM of 7076 and 7082

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

LCM of:
and

Least Common Multiple of 7076 and 7082

LCM of 7076 and 7082 is 25056116

Least common multiple can be found by multiplying the highest exponent prime factors of 7076 and 7082. First we will calculate the prime factors of 7076 and 7082.

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 7082


2 7082
3541 3541
1

Prime factors of 7082 are 2,3541. Prime factorization of 7082 in exponential form is:

7082 = 21×35411

Now multiplying the highest exponent prime factors to calculate the LCM of 7076 and 7082.

LCM(7076,7082) = 22×291×611×35411
LCM(7076,7082) = 25056116

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 7082

List of positive integer factors of 7082 that divides 7082 without a remainder.

1, 2, 3541, 7082

Least Common Multiple of 7076 and 7082 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 7082, than apply into the LCM equation.

GCF(7076,7082) = 2
LCM(7076,7082) = ( 7076 × 7082) / 2
LCM(7076,7082) = 50112232 / 2
LCM(7076,7082) = 25056116

Properties of LCM 7076 and 7082

(i) The LCM of 7082 and 7076 is associative

LCM of 7076 and 7082 = LCM of 7082 and 7076

Related Least Common Multiples of 7076

Related Least Common Multiples of 7082

Frequently Asked Questions on LCM of 7076 and 7082

1. What is the LCM of 7076 and 7082?

Answer: LCM of 7076 and 7082 is 25056116.

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 7082?

Answer: Factors of 7082 are 1, 2, 3541, 7082. There are 4 integers that are factors of 7082. The greatest factor of 7082 is 7082.

4. How to Find the LCM of 7076 and 7082?

Answer:

Least Common Multiple of 7076 and 7082 = 25056116

Step 1: Find the prime factorization of 7076

7076 = 2 x 2 x 29 x 61

Step 2: Find the prime factorization of 7082

7082 = 2 x 3541

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

LCM = 25056116 = 2 x 2 x 29 x 61 x 3541

Step 4: Therefore, the least common multiple of 7076 and 7082 is 25056116.