Least Common Multiple of 3067 and 3071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3067 and 3071 the smallest integer that is 9418757 that is divisible by both numbers.

Least Common Multiple (LCM) of 3067 and 3071 is 9418757.

LCM(3067,3071) = 9418757

LCM of 3067 and 3071

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

LCM of:
and

Least Common Multiple of 3067 and 3071

LCM of 3067 and 3071 is 9418757

Least common multiple can be found by multiplying the highest exponent prime factors of 3067 and 3071. First we will calculate the prime factors of 3067 and 3071.

Prime Factorization of 3067


3067 3067
1

Prime factors of 3067 are 3067. Prime factorization of 3067 in exponential form is:

3067 = 30671

Prime Factorization of 3071


37 3071
83 83
1

Prime factors of 3071 are 37,83. Prime factorization of 3071 in exponential form is:

3071 = 371×831

Now multiplying the highest exponent prime factors to calculate the LCM of 3067 and 3071.

LCM(3067,3071) = 371×831×30671
LCM(3067,3071) = 9418757

Factors of 3067

List of positive integer factors of 3067 that divides 3067 without a remainder.

1, 3067

Factors of 3071

List of positive integer factors of 3071 that divides 3071 without a remainder.

1, 37, 83, 3071

Least Common Multiple of 3067 and 3071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3067 and 3071, than apply into the LCM equation.

GCF(3067,3071) = 1
LCM(3067,3071) = ( 3067 × 3071) / 1
LCM(3067,3071) = 9418757 / 1
LCM(3067,3071) = 9418757

Properties of LCM 3067 and 3071

(i) The LCM of 3071 and 3067 is associative

LCM of 3067 and 3071 = LCM of 3071 and 3067

Related Least Common Multiples of 3067

Related Least Common Multiples of 3071

Frequently Asked Questions on LCM of 3067 and 3071

1. What is the LCM of 3067 and 3071?

Answer: LCM of 3067 and 3071 is 9418757.

2. What are the Factors of 3067?

Answer: Factors of 3067 are 1, 3067. There are 2 integers that are factors of 3067. The greatest factor of 3067 is 3067.

3. What are the Factors of 3071?

Answer: Factors of 3071 are 1, 37, 83, 3071. There are 4 integers that are factors of 3071. The greatest factor of 3071 is 3071.

4. How to Find the LCM of 3067 and 3071?

Answer:

Least Common Multiple of 3067 and 3071 = 9418757

Step 1: Find the prime factorization of 3067

3067 = 3067

Step 2: Find the prime factorization of 3071

3071 = 37 x 83

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

LCM = 9418757 = 37 x 83 x 3067

Step 4: Therefore, the least common multiple of 3067 and 3071 is 9418757.