Least Common Multiple of 80 and 81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 80 and 81 the smallest integer that is 6480 that is divisible by both numbers.

Least Common Multiple (LCM) of 80 and 81 is 6480.

LCM(80,81) = 6480

LCM of 80 and 81

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

LCM of:
and

Least Common Multiple of 80 and 81

LCM of 80 and 81 is 6480

Least common multiple can be found by multiplying the highest exponent prime factors of 80 and 81. First we will calculate the prime factors of 80 and 81.

Prime Factorization of 80


2 80
2 40
2 20
2 10
5 5
1

Prime factors of 80 are 2,5. Prime factorization of 80 in exponential form is:

80 = 24×51

Prime Factorization of 81


3 81
3 27
3 9
3 3
1

Prime factors of 81 are 3. Prime factorization of 81 in exponential form is:

81 = 34

Now multiplying the highest exponent prime factors to calculate the LCM of 80 and 81.

LCM(80,81) = 24×34×51
LCM(80,81) = 6480

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Least Common Multiple of 80 and 81 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80 and 81, than apply into the LCM equation.

GCF(80,81) = 1
LCM(80,81) = ( 80 × 81) / 1
LCM(80,81) = 6480 / 1
LCM(80,81) = 6480

Properties of LCM 80 and 81

(i) The LCM of 81 and 80 is associative

LCM of 80 and 81 = LCM of 81 and 80

Related Least Common Multiples of 80

Related Least Common Multiples of 81

Frequently Asked Questions on LCM of 80 and 81

1. What is the LCM of 80 and 81?

Answer: LCM of 80 and 81 is 6480.

2. What are the Factors of 80?

Answer: Factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. There are 10 integers that are factors of 80. The greatest factor of 80 is 80.

3. What are the Factors of 81?

Answer: Factors of 81 are 1, 3, 9, 27, 81. There are 5 integers that are factors of 81. The greatest factor of 81 is 81.

4. How to Find the LCM of 80 and 81?

Answer:

Least Common Multiple of 80 and 81 = 6480

Step 1: Find the prime factorization of 80

80 = 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 81

81 = 3 x 3 x 3 x 3

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

LCM = 6480 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5

Step 4: Therefore, the least common multiple of 80 and 81 is 6480.