Least Common Multiple of 4065 and 4072

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 4072 the smallest integer that is 16552680 that is divisible by both numbers.

Least Common Multiple (LCM) of 4065 and 4072 is 16552680.

LCM(4065,4072) = 16552680

LCM of 4065 and 4072

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

LCM of:
and

Least Common Multiple of 4065 and 4072

LCM of 4065 and 4072 is 16552680

Least common multiple can be found by multiplying the highest exponent prime factors of 4065 and 4072. First we will calculate the prime factors of 4065 and 4072.

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 4072


2 4072
2 2036
2 1018
509 509
1

Prime factors of 4072 are 2,509. Prime factorization of 4072 in exponential form is:

4072 = 23×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 4065 and 4072.

LCM(4065,4072) = 23×31×51×2711×5091
LCM(4065,4072) = 16552680

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 4072

List of positive integer factors of 4072 that divides 4072 without a remainder.

1, 2, 4, 8, 509, 1018, 2036, 4072

Least Common Multiple of 4065 and 4072 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 4072, than apply into the LCM equation.

GCF(4065,4072) = 1
LCM(4065,4072) = ( 4065 × 4072) / 1
LCM(4065,4072) = 16552680 / 1
LCM(4065,4072) = 16552680

Properties of LCM 4065 and 4072

(i) The LCM of 4072 and 4065 is associative

LCM of 4065 and 4072 = LCM of 4072 and 4065

Related Least Common Multiples of 4065

Related Least Common Multiples of 4072

Frequently Asked Questions on LCM of 4065 and 4072

1. What is the LCM of 4065 and 4072?

Answer: LCM of 4065 and 4072 is 16552680.

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 4072?

Answer: Factors of 4072 are 1, 2, 4, 8, 509, 1018, 2036, 4072. There are 8 integers that are factors of 4072. The greatest factor of 4072 is 4072.

4. How to Find the LCM of 4065 and 4072?

Answer:

Least Common Multiple of 4065 and 4072 = 16552680

Step 1: Find the prime factorization of 4065

4065 = 3 x 5 x 271

Step 2: Find the prime factorization of 4072

4072 = 2 x 2 x 2 x 509

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

LCM = 16552680 = 2 x 2 x 2 x 3 x 5 x 271 x 509

Step 4: Therefore, the least common multiple of 4065 and 4072 is 16552680.