Least Common Multiple of 1065 and 1073

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 1073 the smallest integer that is 1142745 that is divisible by both numbers.

Least Common Multiple (LCM) of 1065 and 1073 is 1142745.

LCM(1065,1073) = 1142745

LCM of 1065 and 1073

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

LCM of:
and

Least Common Multiple of 1065 and 1073

LCM of 1065 and 1073 is 1142745

Least common multiple can be found by multiplying the highest exponent prime factors of 1065 and 1073. First we will calculate the prime factors of 1065 and 1073.

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 1073


29 1073
37 37
1

Prime factors of 1073 are 29,37. Prime factorization of 1073 in exponential form is:

1073 = 291×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1065 and 1073.

LCM(1065,1073) = 31×51×291×371×711
LCM(1065,1073) = 1142745

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 1073

List of positive integer factors of 1073 that divides 1073 without a remainder.

1, 29, 37, 1073

Least Common Multiple of 1065 and 1073 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 1073, than apply into the LCM equation.

GCF(1065,1073) = 1
LCM(1065,1073) = ( 1065 × 1073) / 1
LCM(1065,1073) = 1142745 / 1
LCM(1065,1073) = 1142745

Properties of LCM 1065 and 1073

(i) The LCM of 1073 and 1065 is associative

LCM of 1065 and 1073 = LCM of 1073 and 1065

Related Least Common Multiples of 1065

Related Least Common Multiples of 1073

Frequently Asked Questions on LCM of 1065 and 1073

1. What is the LCM of 1065 and 1073?

Answer: LCM of 1065 and 1073 is 1142745.

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 1073?

Answer: Factors of 1073 are 1, 29, 37, 1073. There are 4 integers that are factors of 1073. The greatest factor of 1073 is 1073.

4. How to Find the LCM of 1065 and 1073?

Answer:

Least Common Multiple of 1065 and 1073 = 1142745

Step 1: Find the prime factorization of 1065

1065 = 3 x 5 x 71

Step 2: Find the prime factorization of 1073

1073 = 29 x 37

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

LCM = 1142745 = 3 x 5 x 29 x 37 x 71

Step 4: Therefore, the least common multiple of 1065 and 1073 is 1142745.