Least Common Multiple of 8076 and 8081

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 8081 the smallest integer that is 65262156 that is divisible by both numbers.

Least Common Multiple (LCM) of 8076 and 8081 is 65262156.

LCM(8076,8081) = 65262156

LCM of 8076 and 8081

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

LCM of:
and

Least Common Multiple of 8076 and 8081

LCM of 8076 and 8081 is 65262156

Least common multiple can be found by multiplying the highest exponent prime factors of 8076 and 8081. First we will calculate the prime factors of 8076 and 8081.

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 8081


8081 8081
1

Prime factors of 8081 are 8081. Prime factorization of 8081 in exponential form is:

8081 = 80811

Now multiplying the highest exponent prime factors to calculate the LCM of 8076 and 8081.

LCM(8076,8081) = 22×31×6731×80811
LCM(8076,8081) = 65262156

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 8081

List of positive integer factors of 8081 that divides 8081 without a remainder.

1, 8081

Least Common Multiple of 8076 and 8081 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 8081, than apply into the LCM equation.

GCF(8076,8081) = 1
LCM(8076,8081) = ( 8076 × 8081) / 1
LCM(8076,8081) = 65262156 / 1
LCM(8076,8081) = 65262156

Properties of LCM 8076 and 8081

(i) The LCM of 8081 and 8076 is associative

LCM of 8076 and 8081 = LCM of 8081 and 8076

Related Least Common Multiples of 8076

Related Least Common Multiples of 8081

Frequently Asked Questions on LCM of 8076 and 8081

1. What is the LCM of 8076 and 8081?

Answer: LCM of 8076 and 8081 is 65262156.

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 8081?

Answer: Factors of 8081 are 1, 8081. There are 2 integers that are factors of 8081. The greatest factor of 8081 is 8081.

4. How to Find the LCM of 8076 and 8081?

Answer:

Least Common Multiple of 8076 and 8081 = 65262156

Step 1: Find the prime factorization of 8076

8076 = 2 x 2 x 3 x 673

Step 2: Find the prime factorization of 8081

8081 = 8081

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

LCM = 65262156 = 2 x 2 x 3 x 673 x 8081

Step 4: Therefore, the least common multiple of 8076 and 8081 is 65262156.