Least Common Multiple of 4065 and 4067

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 4067 the smallest integer that is 16532355 that is divisible by both numbers.

Least Common Multiple (LCM) of 4065 and 4067 is 16532355.

LCM(4065,4067) = 16532355

LCM of 4065 and 4067

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

LCM of:
and

Least Common Multiple of 4065 and 4067

LCM of 4065 and 4067 is 16532355

Least common multiple can be found by multiplying the highest exponent prime factors of 4065 and 4067. First we will calculate the prime factors of 4065 and 4067.

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 4067


7 4067
7 581
83 83
1

Prime factors of 4067 are 7,83. Prime factorization of 4067 in exponential form is:

4067 = 72×831

Now multiplying the highest exponent prime factors to calculate the LCM of 4065 and 4067.

LCM(4065,4067) = 31×51×72×831×2711
LCM(4065,4067) = 16532355

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 4067

List of positive integer factors of 4067 that divides 4067 without a remainder.

1, 7, 49, 83, 581, 4067

Least Common Multiple of 4065 and 4067 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 4067, than apply into the LCM equation.

GCF(4065,4067) = 1
LCM(4065,4067) = ( 4065 × 4067) / 1
LCM(4065,4067) = 16532355 / 1
LCM(4065,4067) = 16532355

Properties of LCM 4065 and 4067

(i) The LCM of 4067 and 4065 is associative

LCM of 4065 and 4067 = LCM of 4067 and 4065

Related Least Common Multiples of 4065

Related Least Common Multiples of 4067

Frequently Asked Questions on LCM of 4065 and 4067

1. What is the LCM of 4065 and 4067?

Answer: LCM of 4065 and 4067 is 16532355.

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 4067?

Answer: Factors of 4067 are 1, 7, 49, 83, 581, 4067. There are 6 integers that are factors of 4067. The greatest factor of 4067 is 4067.

4. How to Find the LCM of 4065 and 4067?

Answer:

Least Common Multiple of 4065 and 4067 = 16532355

Step 1: Find the prime factorization of 4065

4065 = 3 x 5 x 271

Step 2: Find the prime factorization of 4067

4067 = 7 x 7 x 83

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

LCM = 16532355 = 3 x 5 x 7 x 7 x 83 x 271

Step 4: Therefore, the least common multiple of 4065 and 4067 is 16532355.