Least Common Multiple of 1069 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 1069 and 1073 the smallest integer that is 1147037 that is divisible by both numbers.

Least Common Multiple (LCM) of 1069 and 1073 is 1147037.

LCM(1069,1073) = 1147037

LCM of 1069 and 1073

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

LCM of:
and

Least Common Multiple of 1069 and 1073

LCM of 1069 and 1073 is 1147037

Least common multiple can be found by multiplying the highest exponent prime factors of 1069 and 1073. First we will calculate the prime factors of 1069 and 1073.

Prime Factorization of 1069


1069 1069
1

Prime factors of 1069 are 1069. Prime factorization of 1069 in exponential form is:

1069 = 10691

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 1069 and 1073.

LCM(1069,1073) = 291×371×10691
LCM(1069,1073) = 1147037

Factors of 1069

List of positive integer factors of 1069 that divides 1069 without a remainder.

1, 1069

Factors of 1073

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

1, 29, 37, 1073

Least Common Multiple of 1069 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 1069 and 1073, than apply into the LCM equation.

GCF(1069,1073) = 1
LCM(1069,1073) = ( 1069 × 1073) / 1
LCM(1069,1073) = 1147037 / 1
LCM(1069,1073) = 1147037

Properties of LCM 1069 and 1073

(i) The LCM of 1073 and 1069 is associative

LCM of 1069 and 1073 = LCM of 1073 and 1069

Related Least Common Multiples of 1069

Related Least Common Multiples of 1073

Frequently Asked Questions on LCM of 1069 and 1073

1. What is the LCM of 1069 and 1073?

Answer: LCM of 1069 and 1073 is 1147037.

2. What are the Factors of 1069?

Answer: Factors of 1069 are 1, 1069. There are 2 integers that are factors of 1069. The greatest factor of 1069 is 1069.

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 1069 and 1073?

Answer:

Least Common Multiple of 1069 and 1073 = 1147037

Step 1: Find the prime factorization of 1069

1069 = 1069

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 = 1147037 = 29 x 37 x 1069

Step 4: Therefore, the least common multiple of 1069 and 1073 is 1147037.