Least Common Multiple of 3081 and 3087

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3081 and 3087 the smallest integer that is 3170349 that is divisible by both numbers.

Least Common Multiple (LCM) of 3081 and 3087 is 3170349.

LCM(3081,3087) = 3170349

LCM of 3081 and 3087

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

LCM of:
and

Least Common Multiple of 3081 and 3087

LCM of 3081 and 3087 is 3170349

Least common multiple can be found by multiplying the highest exponent prime factors of 3081 and 3087. First we will calculate the prime factors of 3081 and 3087.

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

Prime Factorization of 3087


3 3087
3 1029
7 343
7 49
7 7
1

Prime factors of 3087 are 3,7. Prime factorization of 3087 in exponential form is:

3087 = 32×73

Now multiplying the highest exponent prime factors to calculate the LCM of 3081 and 3087.

LCM(3081,3087) = 32×73×131×791
LCM(3081,3087) = 3170349

Factors of 3081

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

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

Factors of 3087

List of positive integer factors of 3087 that divides 3087 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087

Least Common Multiple of 3081 and 3087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3081 and 3087, than apply into the LCM equation.

GCF(3081,3087) = 3
LCM(3081,3087) = ( 3081 × 3087) / 3
LCM(3081,3087) = 9511047 / 3
LCM(3081,3087) = 3170349

Properties of LCM 3081 and 3087

(i) The LCM of 3087 and 3081 is associative

LCM of 3081 and 3087 = LCM of 3087 and 3081

Related Least Common Multiples of 3081

Related Least Common Multiples of 3087

Frequently Asked Questions on LCM of 3081 and 3087

1. What is the LCM of 3081 and 3087?

Answer: LCM of 3081 and 3087 is 3170349.

2. 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.

3. What are the Factors of 3087?

Answer: Factors of 3087 are 1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087. There are 12 integers that are factors of 3087. The greatest factor of 3087 is 3087.

4. How to Find the LCM of 3081 and 3087?

Answer:

Least Common Multiple of 3081 and 3087 = 3170349

Step 1: Find the prime factorization of 3081

3081 = 3 x 13 x 79

Step 2: Find the prime factorization of 3087

3087 = 3 x 3 x 7 x 7 x 7

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

LCM = 3170349 = 3 x 3 x 7 x 7 x 7 x 13 x 79

Step 4: Therefore, the least common multiple of 3081 and 3087 is 3170349.