Least Common Multiple of 8076 and 8082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8076 and 8082 the smallest integer that is 10878372 that is divisible by both numbers.

Least Common Multiple (LCM) of 8076 and 8082 is 10878372.

LCM(8076,8082) = 10878372

LCM of 8076 and 8082

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

LCM of:
and

Least Common Multiple of 8076 and 8082

LCM of 8076 and 8082 is 10878372

Least common multiple can be found by multiplying the highest exponent prime factors of 8076 and 8082. First we will calculate the prime factors of 8076 and 8082.

Prime Factorization of 8076


2 8076
2 4038
3 2019
673 673
1

Prime factors of 8076 are 2, 3,673. Prime factorization of 8076 in exponential form is:

8076 = 22×31×6731

Prime Factorization of 8082


2 8082
3 4041
3 1347
449 449
1

Prime factors of 8082 are 2, 3,449. Prime factorization of 8082 in exponential form is:

8082 = 21×32×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 8076 and 8082.

LCM(8076,8082) = 22×32×4491×6731
LCM(8076,8082) = 10878372

Factors of 8076

List of positive integer factors of 8076 that divides 8076 without a remainder.

1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076

Factors of 8082

List of positive integer factors of 8082 that divides 8082 without a remainder.

1, 2, 3, 6, 9, 18, 449, 898, 1347, 2694, 4041, 8082

Least Common Multiple of 8076 and 8082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8076 and 8082, than apply into the LCM equation.

GCF(8076,8082) = 6
LCM(8076,8082) = ( 8076 × 8082) / 6
LCM(8076,8082) = 65270232 / 6
LCM(8076,8082) = 10878372

Properties of LCM 8076 and 8082

(i) The LCM of 8082 and 8076 is associative

LCM of 8076 and 8082 = LCM of 8082 and 8076

Related Least Common Multiples of 8076

Related Least Common Multiples of 8082

Frequently Asked Questions on LCM of 8076 and 8082

1. What is the LCM of 8076 and 8082?

Answer: LCM of 8076 and 8082 is 10878372.

2. What are the Factors of 8076?

Answer: Factors of 8076 are 1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076. There are 12 integers that are factors of 8076. The greatest factor of 8076 is 8076.

3. What are the Factors of 8082?

Answer: Factors of 8082 are 1, 2, 3, 6, 9, 18, 449, 898, 1347, 2694, 4041, 8082. There are 12 integers that are factors of 8082. The greatest factor of 8082 is 8082.

4. How to Find the LCM of 8076 and 8082?

Answer:

Least Common Multiple of 8076 and 8082 = 10878372

Step 1: Find the prime factorization of 8076

8076 = 2 x 2 x 3 x 673

Step 2: Find the prime factorization of 8082

8082 = 2 x 3 x 3 x 449

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

LCM = 10878372 = 2 x 2 x 3 x 3 x 449 x 673

Step 4: Therefore, the least common multiple of 8076 and 8082 is 10878372.