Least Common Multiple of 4065 and 4069

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 4069 the smallest integer that is 16540485 that is divisible by both numbers.

Least Common Multiple (LCM) of 4065 and 4069 is 16540485.

LCM(4065,4069) = 16540485

LCM of 4065 and 4069

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

LCM of:
and

Least Common Multiple of 4065 and 4069

LCM of 4065 and 4069 is 16540485

Least common multiple can be found by multiplying the highest exponent prime factors of 4065 and 4069. First we will calculate the prime factors of 4065 and 4069.

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 4069


13 4069
313 313
1

Prime factors of 4069 are 13,313. Prime factorization of 4069 in exponential form is:

4069 = 131×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 4065 and 4069.

LCM(4065,4069) = 31×51×131×2711×3131
LCM(4065,4069) = 16540485

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 4069

List of positive integer factors of 4069 that divides 4069 without a remainder.

1, 13, 313, 4069

Least Common Multiple of 4065 and 4069 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 4069, than apply into the LCM equation.

GCF(4065,4069) = 1
LCM(4065,4069) = ( 4065 × 4069) / 1
LCM(4065,4069) = 16540485 / 1
LCM(4065,4069) = 16540485

Properties of LCM 4065 and 4069

(i) The LCM of 4069 and 4065 is associative

LCM of 4065 and 4069 = LCM of 4069 and 4065

Related Least Common Multiples of 4065

Related Least Common Multiples of 4069

Frequently Asked Questions on LCM of 4065 and 4069

1. What is the LCM of 4065 and 4069?

Answer: LCM of 4065 and 4069 is 16540485.

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 4069?

Answer: Factors of 4069 are 1, 13, 313, 4069. There are 4 integers that are factors of 4069. The greatest factor of 4069 is 4069.

4. How to Find the LCM of 4065 and 4069?

Answer:

Least Common Multiple of 4065 and 4069 = 16540485

Step 1: Find the prime factorization of 4065

4065 = 3 x 5 x 271

Step 2: Find the prime factorization of 4069

4069 = 13 x 313

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

LCM = 16540485 = 3 x 5 x 13 x 271 x 313

Step 4: Therefore, the least common multiple of 4065 and 4069 is 16540485.