Least Common Multiple of 4060 and 4065

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4060 and 4065 the smallest integer that is 3300780 that is divisible by both numbers.

Least Common Multiple (LCM) of 4060 and 4065 is 3300780.

LCM(4060,4065) = 3300780

LCM of 4060 and 4065

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

LCM of:
and

Least Common Multiple of 4060 and 4065

LCM of 4060 and 4065 is 3300780

Least common multiple can be found by multiplying the highest exponent prime factors of 4060 and 4065. First we will calculate the prime factors of 4060 and 4065.

Prime Factorization of 4060


2 4060
2 2030
5 1015
7 203
29 29
1

Prime factors of 4060 are 2, 5, 7,29. Prime factorization of 4060 in exponential form is:

4060 = 22×51×71×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4060 and 4065.

LCM(4060,4065) = 22×31×51×71×291×2711
LCM(4060,4065) = 3300780

Factors of 4060

List of positive integer factors of 4060 that divides 4060 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030, 4060

Factors of 4065

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

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

Least Common Multiple of 4060 and 4065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4060 and 4065, than apply into the LCM equation.

GCF(4060,4065) = 5
LCM(4060,4065) = ( 4060 × 4065) / 5
LCM(4060,4065) = 16503900 / 5
LCM(4060,4065) = 3300780

Properties of LCM 4060 and 4065

(i) The LCM of 4065 and 4060 is associative

LCM of 4060 and 4065 = LCM of 4065 and 4060

Related Least Common Multiples of 4060

Related Least Common Multiples of 4065

Frequently Asked Questions on LCM of 4060 and 4065

1. What is the LCM of 4060 and 4065?

Answer: LCM of 4060 and 4065 is 3300780.

2. What are the Factors of 4060?

Answer: Factors of 4060 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030, 4060. There are 24 integers that are factors of 4060. The greatest factor of 4060 is 4060.

3. 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.

4. How to Find the LCM of 4060 and 4065?

Answer:

Least Common Multiple of 4060 and 4065 = 3300780

Step 1: Find the prime factorization of 4060

4060 = 2 x 2 x 5 x 7 x 29

Step 2: Find the prime factorization of 4065

4065 = 3 x 5 x 271

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

LCM = 3300780 = 2 x 2 x 3 x 5 x 7 x 29 x 271

Step 4: Therefore, the least common multiple of 4060 and 4065 is 3300780.