Least Common Multiple of 76 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 76 and 81 the smallest integer that is 6156 that is divisible by both numbers.

Least Common Multiple (LCM) of 76 and 81 is 6156.

LCM(76,81) = 6156

LCM of 76 and 81

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

LCM of:
and

Least Common Multiple of 76 and 81

LCM of 76 and 81 is 6156

Least common multiple can be found by multiplying the highest exponent prime factors of 76 and 81. First we will calculate the prime factors of 76 and 81.

Prime Factorization of 76


2 76
2 38
19 19
1

Prime factors of 76 are 2,19. Prime factorization of 76 in exponential form is:

76 = 22×191

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 76 and 81.

LCM(76,81) = 22×34×191
LCM(76,81) = 6156

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 76 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 76 and 81, than apply into the LCM equation.

GCF(76,81) = 1
LCM(76,81) = ( 76 × 81) / 1
LCM(76,81) = 6156 / 1
LCM(76,81) = 6156

Properties of LCM 76 and 81

(i) The LCM of 81 and 76 is associative

LCM of 76 and 81 = LCM of 81 and 76

Related Least Common Multiples of 76

Related Least Common Multiples of 81

Frequently Asked Questions on LCM of 76 and 81

1. What is the LCM of 76 and 81?

Answer: LCM of 76 and 81 is 6156.

2. What are the Factors of 76?

Answer: Factors of 76 are 1, 2, 4, 19, 38, 76. There are 6 integers that are factors of 76. The greatest factor of 76 is 76.

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 76 and 81?

Answer:

Least Common Multiple of 76 and 81 = 6156

Step 1: Find the prime factorization of 76

76 = 2 x 2 x 19

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 = 6156 = 2 x 2 x 3 x 3 x 3 x 3 x 19

Step 4: Therefore, the least common multiple of 76 and 81 is 6156.