Least Common Multiple of 81 and 87

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 81 and 87 the smallest integer that is 2349 that is divisible by both numbers.

Least Common Multiple (LCM) of 81 and 87 is 2349.

LCM(81,87) = 2349

LCM of 81 and 87

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

LCM of:
and

Least Common Multiple of 81 and 87

LCM of 81 and 87 is 2349

Least common multiple can be found by multiplying the highest exponent prime factors of 81 and 87. First we will calculate the prime factors of 81 and 87.

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

Prime Factorization of 87


3 87
29 29
1

Prime factors of 87 are 3,29. Prime factorization of 87 in exponential form is:

87 = 31×291

Now multiplying the highest exponent prime factors to calculate the LCM of 81 and 87.

LCM(81,87) = 34×291
LCM(81,87) = 2349

Factors of 81

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

1, 3, 9, 27, 81

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Least Common Multiple of 81 and 87 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81 and 87, than apply into the LCM equation.

GCF(81,87) = 3
LCM(81,87) = ( 81 × 87) / 3
LCM(81,87) = 7047 / 3
LCM(81,87) = 2349

Properties of LCM 81 and 87

(i) The LCM of 87 and 81 is associative

LCM of 81 and 87 = LCM of 87 and 81

Related Least Common Multiples of 81

Related Least Common Multiples of 87

Frequently Asked Questions on LCM of 81 and 87

1. What is the LCM of 81 and 87?

Answer: LCM of 81 and 87 is 2349.

2. 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.

3. What are the Factors of 87?

Answer: Factors of 87 are 1, 3, 29, 87. There are 4 integers that are factors of 87. The greatest factor of 87 is 87.

4. How to Find the LCM of 81 and 87?

Answer:

Least Common Multiple of 81 and 87 = 2349

Step 1: Find the prime factorization of 81

81 = 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 87

87 = 3 x 29

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

LCM = 2349 = 3 x 3 x 3 x 3 x 29

Step 4: Therefore, the least common multiple of 81 and 87 is 2349.