Least Common Multiple of 4065 and 4073

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4065 and 4073 the smallest integer that is 16556745 that is divisible by both numbers.

Least Common Multiple (LCM) of 4065 and 4073 is 16556745.

LCM(4065,4073) = 16556745

LCM of 4065 and 4073

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

LCM of:
and

Least Common Multiple of 4065 and 4073

LCM of 4065 and 4073 is 16556745

Least common multiple can be found by multiplying the highest exponent prime factors of 4065 and 4073. First we will calculate the prime factors of 4065 and 4073.

Prime Factorization of 4065


3 4065
5 1355
271 271
1

Prime factors of 4065 are 3, 5,271. Prime factorization of 4065 in exponential form is:

4065 = 31×51×2711

Prime Factorization of 4073


4073 4073
1

Prime factors of 4073 are 4073. Prime factorization of 4073 in exponential form is:

4073 = 40731

Now multiplying the highest exponent prime factors to calculate the LCM of 4065 and 4073.

LCM(4065,4073) = 31×51×2711×40731
LCM(4065,4073) = 16556745

Factors of 4065

List of positive integer factors of 4065 that divides 4065 without a remainder.

1, 3, 5, 15, 271, 813, 1355, 4065

Factors of 4073

List of positive integer factors of 4073 that divides 4073 without a remainder.

1, 4073

Least Common Multiple of 4065 and 4073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4065 and 4073, than apply into the LCM equation.

GCF(4065,4073) = 1
LCM(4065,4073) = ( 4065 × 4073) / 1
LCM(4065,4073) = 16556745 / 1
LCM(4065,4073) = 16556745

Properties of LCM 4065 and 4073

(i) The LCM of 4073 and 4065 is associative

LCM of 4065 and 4073 = LCM of 4073 and 4065

Related Least Common Multiples of 4065

Related Least Common Multiples of 4073

Frequently Asked Questions on LCM of 4065 and 4073

1. What is the LCM of 4065 and 4073?

Answer: LCM of 4065 and 4073 is 16556745.

2. What are the Factors of 4065?

Answer: Factors of 4065 are 1, 3, 5, 15, 271, 813, 1355, 4065. There are 8 integers that are factors of 4065. The greatest factor of 4065 is 4065.

3. What are the Factors of 4073?

Answer: Factors of 4073 are 1, 4073. There are 2 integers that are factors of 4073. The greatest factor of 4073 is 4073.

4. How to Find the LCM of 4065 and 4073?

Answer:

Least Common Multiple of 4065 and 4073 = 16556745

Step 1: Find the prime factorization of 4065

4065 = 3 x 5 x 271

Step 2: Find the prime factorization of 4073

4073 = 4073

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

LCM = 16556745 = 3 x 5 x 271 x 4073

Step 4: Therefore, the least common multiple of 4065 and 4073 is 16556745.