Least Common Multiple of 1065 and 1071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1065 and 1071 the smallest integer that is 380205 that is divisible by both numbers.

Least Common Multiple (LCM) of 1065 and 1071 is 380205.

LCM(1065,1071) = 380205

LCM of 1065 and 1071

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

LCM of:
and

Least Common Multiple of 1065 and 1071

LCM of 1065 and 1071 is 380205

Least common multiple can be found by multiplying the highest exponent prime factors of 1065 and 1071. First we will calculate the prime factors of 1065 and 1071.

Prime Factorization of 1065


3 1065
5 355
71 71
1

Prime factors of 1065 are 3, 5,71. Prime factorization of 1065 in exponential form is:

1065 = 31×51×711

Prime Factorization of 1071


3 1071
3 357
7 119
17 17
1

Prime factors of 1071 are 3, 7,17. Prime factorization of 1071 in exponential form is:

1071 = 32×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1065 and 1071.

LCM(1065,1071) = 32×51×71×171×711
LCM(1065,1071) = 380205

Factors of 1065

List of positive integer factors of 1065 that divides 1065 without a remainder.

1, 3, 5, 15, 71, 213, 355, 1065

Factors of 1071

List of positive integer factors of 1071 that divides 1071 without a remainder.

1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071

Least Common Multiple of 1065 and 1071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1065 and 1071, than apply into the LCM equation.

GCF(1065,1071) = 3
LCM(1065,1071) = ( 1065 × 1071) / 3
LCM(1065,1071) = 1140615 / 3
LCM(1065,1071) = 380205

Properties of LCM 1065 and 1071

(i) The LCM of 1071 and 1065 is associative

LCM of 1065 and 1071 = LCM of 1071 and 1065

Related Least Common Multiples of 1065

Related Least Common Multiples of 1071

Frequently Asked Questions on LCM of 1065 and 1071

1. What is the LCM of 1065 and 1071?

Answer: LCM of 1065 and 1071 is 380205.

2. What are the Factors of 1065?

Answer: Factors of 1065 are 1, 3, 5, 15, 71, 213, 355, 1065. There are 8 integers that are factors of 1065. The greatest factor of 1065 is 1065.

3. What are the Factors of 1071?

Answer: Factors of 1071 are 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071. There are 12 integers that are factors of 1071. The greatest factor of 1071 is 1071.

4. How to Find the LCM of 1065 and 1071?

Answer:

Least Common Multiple of 1065 and 1071 = 380205

Step 1: Find the prime factorization of 1065

1065 = 3 x 5 x 71

Step 2: Find the prime factorization of 1071

1071 = 3 x 3 x 7 x 17

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

LCM = 380205 = 3 x 3 x 5 x 7 x 17 x 71

Step 4: Therefore, the least common multiple of 1065 and 1071 is 380205.