Least Common Multiple of 4062 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 4062 and 4065 the smallest integer that is 5504010 that is divisible by both numbers.

Least Common Multiple (LCM) of 4062 and 4065 is 5504010.

LCM(4062,4065) = 5504010

LCM of 4062 and 4065

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

LCM of:
and

Least Common Multiple of 4062 and 4065

LCM of 4062 and 4065 is 5504010

Least common multiple can be found by multiplying the highest exponent prime factors of 4062 and 4065. First we will calculate the prime factors of 4062 and 4065.

Prime Factorization of 4062


2 4062
3 2031
677 677
1

Prime factors of 4062 are 2, 3,677. Prime factorization of 4062 in exponential form is:

4062 = 21×31×6771

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 4062 and 4065.

LCM(4062,4065) = 21×31×51×2711×6771
LCM(4062,4065) = 5504010

Factors of 4062

List of positive integer factors of 4062 that divides 4062 without a remainder.

1, 2, 3, 6, 677, 1354, 2031, 4062

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 4062 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 4062 and 4065, than apply into the LCM equation.

GCF(4062,4065) = 3
LCM(4062,4065) = ( 4062 × 4065) / 3
LCM(4062,4065) = 16512030 / 3
LCM(4062,4065) = 5504010

Properties of LCM 4062 and 4065

(i) The LCM of 4065 and 4062 is associative

LCM of 4062 and 4065 = LCM of 4065 and 4062

Related Least Common Multiples of 4062

Related Least Common Multiples of 4065

Frequently Asked Questions on LCM of 4062 and 4065

1. What is the LCM of 4062 and 4065?

Answer: LCM of 4062 and 4065 is 5504010.

2. What are the Factors of 4062?

Answer: Factors of 4062 are 1, 2, 3, 6, 677, 1354, 2031, 4062. There are 8 integers that are factors of 4062. The greatest factor of 4062 is 4062.

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 4062 and 4065?

Answer:

Least Common Multiple of 4062 and 4065 = 5504010

Step 1: Find the prime factorization of 4062

4062 = 2 x 3 x 677

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 = 5504010 = 2 x 3 x 5 x 271 x 677

Step 4: Therefore, the least common multiple of 4062 and 4065 is 5504010.