Least Common Multiple of 1069 and 1075

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 1075 the smallest integer that is 1149175 that is divisible by both numbers.

Least Common Multiple (LCM) of 1069 and 1075 is 1149175.

LCM(1069,1075) = 1149175

LCM of 1069 and 1075

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

LCM of:
and

Least Common Multiple of 1069 and 1075

LCM of 1069 and 1075 is 1149175

Least common multiple can be found by multiplying the highest exponent prime factors of 1069 and 1075. First we will calculate the prime factors of 1069 and 1075.

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 1075


5 1075
5 215
43 43
1

Prime factors of 1075 are 5,43. Prime factorization of 1075 in exponential form is:

1075 = 52×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1069 and 1075.

LCM(1069,1075) = 52×431×10691
LCM(1069,1075) = 1149175

Factors of 1069

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

1, 1069

Factors of 1075

List of positive integer factors of 1075 that divides 1075 without a remainder.

1, 5, 25, 43, 215, 1075

Least Common Multiple of 1069 and 1075 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 1075, than apply into the LCM equation.

GCF(1069,1075) = 1
LCM(1069,1075) = ( 1069 × 1075) / 1
LCM(1069,1075) = 1149175 / 1
LCM(1069,1075) = 1149175

Properties of LCM 1069 and 1075

(i) The LCM of 1075 and 1069 is associative

LCM of 1069 and 1075 = LCM of 1075 and 1069

Related Least Common Multiples of 1069

Related Least Common Multiples of 1075

Frequently Asked Questions on LCM of 1069 and 1075

1. What is the LCM of 1069 and 1075?

Answer: LCM of 1069 and 1075 is 1149175.

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 1075?

Answer: Factors of 1075 are 1, 5, 25, 43, 215, 1075. There are 6 integers that are factors of 1075. The greatest factor of 1075 is 1075.

4. How to Find the LCM of 1069 and 1075?

Answer:

Least Common Multiple of 1069 and 1075 = 1149175

Step 1: Find the prime factorization of 1069

1069 = 1069

Step 2: Find the prime factorization of 1075

1075 = 5 x 5 x 43

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

LCM = 1149175 = 5 x 5 x 43 x 1069

Step 4: Therefore, the least common multiple of 1069 and 1075 is 1149175.