Least Common Multiple of 3065 and 3067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3065 and 3067 the smallest integer that is 9400355 that is divisible by both numbers.

Least Common Multiple (LCM) of 3065 and 3067 is 9400355.

LCM(3065,3067) = 9400355

LCM of 3065 and 3067

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

LCM of:
and

Least Common Multiple of 3065 and 3067

LCM of 3065 and 3067 is 9400355

Least common multiple can be found by multiplying the highest exponent prime factors of 3065 and 3067. First we will calculate the prime factors of 3065 and 3067.

Prime Factorization of 3065


5 3065
613 613
1

Prime factors of 3065 are 5,613. Prime factorization of 3065 in exponential form is:

3065 = 51×6131

Prime Factorization of 3067


3067 3067
1

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

3067 = 30671

Now multiplying the highest exponent prime factors to calculate the LCM of 3065 and 3067.

LCM(3065,3067) = 51×6131×30671
LCM(3065,3067) = 9400355

Factors of 3065

List of positive integer factors of 3065 that divides 3065 without a remainder.

1, 5, 613, 3065

Factors of 3067

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

1, 3067

Least Common Multiple of 3065 and 3067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3065 and 3067, than apply into the LCM equation.

GCF(3065,3067) = 1
LCM(3065,3067) = ( 3065 × 3067) / 1
LCM(3065,3067) = 9400355 / 1
LCM(3065,3067) = 9400355

Properties of LCM 3065 and 3067

(i) The LCM of 3067 and 3065 is associative

LCM of 3065 and 3067 = LCM of 3067 and 3065

Related Least Common Multiples of 3065

Related Least Common Multiples of 3067

Frequently Asked Questions on LCM of 3065 and 3067

1. What is the LCM of 3065 and 3067?

Answer: LCM of 3065 and 3067 is 9400355.

2. What are the Factors of 3065?

Answer: Factors of 3065 are 1, 5, 613, 3065. There are 4 integers that are factors of 3065. The greatest factor of 3065 is 3065.

3. 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.

4. How to Find the LCM of 3065 and 3067?

Answer:

Least Common Multiple of 3065 and 3067 = 9400355

Step 1: Find the prime factorization of 3065

3065 = 5 x 613

Step 2: Find the prime factorization of 3067

3067 = 3067

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

LCM = 9400355 = 5 x 613 x 3067

Step 4: Therefore, the least common multiple of 3065 and 3067 is 9400355.