Least Common Multiple of 3076 and 3081

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3076 and 3081 the smallest integer that is 9477156 that is divisible by both numbers.

Least Common Multiple (LCM) of 3076 and 3081 is 9477156.

LCM(3076,3081) = 9477156

LCM of 3076 and 3081

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

LCM of:
and

Least Common Multiple of 3076 and 3081

LCM of 3076 and 3081 is 9477156

Least common multiple can be found by multiplying the highest exponent prime factors of 3076 and 3081. First we will calculate the prime factors of 3076 and 3081.

Prime Factorization of 3076


2 3076
2 1538
769 769
1

Prime factors of 3076 are 2,769. Prime factorization of 3076 in exponential form is:

3076 = 22×7691

Prime Factorization of 3081


3 3081
13 1027
79 79
1

Prime factors of 3081 are 3, 13,79. Prime factorization of 3081 in exponential form is:

3081 = 31×131×791

Now multiplying the highest exponent prime factors to calculate the LCM of 3076 and 3081.

LCM(3076,3081) = 22×31×131×791×7691
LCM(3076,3081) = 9477156

Factors of 3076

List of positive integer factors of 3076 that divides 3076 without a remainder.

1, 2, 4, 769, 1538, 3076

Factors of 3081

List of positive integer factors of 3081 that divides 3081 without a remainder.

1, 3, 13, 39, 79, 237, 1027, 3081

Least Common Multiple of 3076 and 3081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3076 and 3081, than apply into the LCM equation.

GCF(3076,3081) = 1
LCM(3076,3081) = ( 3076 × 3081) / 1
LCM(3076,3081) = 9477156 / 1
LCM(3076,3081) = 9477156

Properties of LCM 3076 and 3081

(i) The LCM of 3081 and 3076 is associative

LCM of 3076 and 3081 = LCM of 3081 and 3076

Related Least Common Multiples of 3076

Related Least Common Multiples of 3081

Frequently Asked Questions on LCM of 3076 and 3081

1. What is the LCM of 3076 and 3081?

Answer: LCM of 3076 and 3081 is 9477156.

2. What are the Factors of 3076?

Answer: Factors of 3076 are 1, 2, 4, 769, 1538, 3076. There are 6 integers that are factors of 3076. The greatest factor of 3076 is 3076.

3. What are the Factors of 3081?

Answer: Factors of 3081 are 1, 3, 13, 39, 79, 237, 1027, 3081. There are 8 integers that are factors of 3081. The greatest factor of 3081 is 3081.

4. How to Find the LCM of 3076 and 3081?

Answer:

Least Common Multiple of 3076 and 3081 = 9477156

Step 1: Find the prime factorization of 3076

3076 = 2 x 2 x 769

Step 2: Find the prime factorization of 3081

3081 = 3 x 13 x 79

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

LCM = 9477156 = 2 x 2 x 3 x 13 x 79 x 769

Step 4: Therefore, the least common multiple of 3076 and 3081 is 9477156.