Least Common Multiple of 3065 and 3073

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 3073 the smallest integer that is 9418745 that is divisible by both numbers.

Least Common Multiple (LCM) of 3065 and 3073 is 9418745.

LCM(3065,3073) = 9418745

LCM of 3065 and 3073

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

LCM of:
and

Least Common Multiple of 3065 and 3073

LCM of 3065 and 3073 is 9418745

Least common multiple can be found by multiplying the highest exponent prime factors of 3065 and 3073. First we will calculate the prime factors of 3065 and 3073.

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 3073


7 3073
439 439
1

Prime factors of 3073 are 7,439. Prime factorization of 3073 in exponential form is:

3073 = 71×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 3065 and 3073.

LCM(3065,3073) = 51×71×4391×6131
LCM(3065,3073) = 9418745

Factors of 3065

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

1, 5, 613, 3065

Factors of 3073

List of positive integer factors of 3073 that divides 3073 without a remainder.

1, 7, 439, 3073

Least Common Multiple of 3065 and 3073 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 3073, than apply into the LCM equation.

GCF(3065,3073) = 1
LCM(3065,3073) = ( 3065 × 3073) / 1
LCM(3065,3073) = 9418745 / 1
LCM(3065,3073) = 9418745

Properties of LCM 3065 and 3073

(i) The LCM of 3073 and 3065 is associative

LCM of 3065 and 3073 = LCM of 3073 and 3065

Related Least Common Multiples of 3065

Related Least Common Multiples of 3073

Frequently Asked Questions on LCM of 3065 and 3073

1. What is the LCM of 3065 and 3073?

Answer: LCM of 3065 and 3073 is 9418745.

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 3073?

Answer: Factors of 3073 are 1, 7, 439, 3073. There are 4 integers that are factors of 3073. The greatest factor of 3073 is 3073.

4. How to Find the LCM of 3065 and 3073?

Answer:

Least Common Multiple of 3065 and 3073 = 9418745

Step 1: Find the prime factorization of 3065

3065 = 5 x 613

Step 2: Find the prime factorization of 3073

3073 = 7 x 439

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

LCM = 9418745 = 5 x 7 x 439 x 613

Step 4: Therefore, the least common multiple of 3065 and 3073 is 9418745.