Least Common Multiple of 3071 and 3079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3071 and 3079 the smallest integer that is 9455609 that is divisible by both numbers.

Least Common Multiple (LCM) of 3071 and 3079 is 9455609.

LCM(3071,3079) = 9455609

LCM of 3071 and 3079

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

LCM of:
and

Least Common Multiple of 3071 and 3079

LCM of 3071 and 3079 is 9455609

Least common multiple can be found by multiplying the highest exponent prime factors of 3071 and 3079. First we will calculate the prime factors of 3071 and 3079.

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

Prime Factorization of 3079


3079 3079
1

Prime factors of 3079 are 3079. Prime factorization of 3079 in exponential form is:

3079 = 30791

Now multiplying the highest exponent prime factors to calculate the LCM of 3071 and 3079.

LCM(3071,3079) = 371×831×30791
LCM(3071,3079) = 9455609

Factors of 3071

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

1, 37, 83, 3071

Factors of 3079

List of positive integer factors of 3079 that divides 3079 without a remainder.

1, 3079

Least Common Multiple of 3071 and 3079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3071 and 3079, than apply into the LCM equation.

GCF(3071,3079) = 1
LCM(3071,3079) = ( 3071 × 3079) / 1
LCM(3071,3079) = 9455609 / 1
LCM(3071,3079) = 9455609

Properties of LCM 3071 and 3079

(i) The LCM of 3079 and 3071 is associative

LCM of 3071 and 3079 = LCM of 3079 and 3071

Related Least Common Multiples of 3071

Related Least Common Multiples of 3079

Frequently Asked Questions on LCM of 3071 and 3079

1. What is the LCM of 3071 and 3079?

Answer: LCM of 3071 and 3079 is 9455609.

2. 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.

3. What are the Factors of 3079?

Answer: Factors of 3079 are 1, 3079. There are 2 integers that are factors of 3079. The greatest factor of 3079 is 3079.

4. How to Find the LCM of 3071 and 3079?

Answer:

Least Common Multiple of 3071 and 3079 = 9455609

Step 1: Find the prime factorization of 3071

3071 = 37 x 83

Step 2: Find the prime factorization of 3079

3079 = 3079

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

LCM = 9455609 = 37 x 83 x 3079

Step 4: Therefore, the least common multiple of 3071 and 3079 is 9455609.