Least Common Multiple of 1033 and 1035

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1033 and 1035 the smallest integer that is 1069155 that is divisible by both numbers.

Least Common Multiple (LCM) of 1033 and 1035 is 1069155.

LCM(1033,1035) = 1069155

LCM of 1033 and 1035

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

LCM of:
and

Least Common Multiple of 1033 and 1035

LCM of 1033 and 1035 is 1069155

Least common multiple can be found by multiplying the highest exponent prime factors of 1033 and 1035. First we will calculate the prime factors of 1033 and 1035.

Prime Factorization of 1033


1033 1033
1

Prime factors of 1033 are 1033. Prime factorization of 1033 in exponential form is:

1033 = 10331

Prime Factorization of 1035


3 1035
3 345
5 115
23 23
1

Prime factors of 1035 are 3, 5,23. Prime factorization of 1035 in exponential form is:

1035 = 32×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1033 and 1035.

LCM(1033,1035) = 32×51×231×10331
LCM(1033,1035) = 1069155

Factors of 1033

List of positive integer factors of 1033 that divides 1033 without a remainder.

1, 1033

Factors of 1035

List of positive integer factors of 1035 that divides 1035 without a remainder.

1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035

Least Common Multiple of 1033 and 1035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1033 and 1035, than apply into the LCM equation.

GCF(1033,1035) = 1
LCM(1033,1035) = ( 1033 × 1035) / 1
LCM(1033,1035) = 1069155 / 1
LCM(1033,1035) = 1069155

Properties of LCM 1033 and 1035

(i) The LCM of 1035 and 1033 is associative

LCM of 1033 and 1035 = LCM of 1035 and 1033

Related Least Common Multiples of 1033

Related Least Common Multiples of 1035

Frequently Asked Questions on LCM of 1033 and 1035

1. What is the LCM of 1033 and 1035?

Answer: LCM of 1033 and 1035 is 1069155.

2. What are the Factors of 1033?

Answer: Factors of 1033 are 1, 1033. There are 2 integers that are factors of 1033. The greatest factor of 1033 is 1033.

3. What are the Factors of 1035?

Answer: Factors of 1035 are 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035. There are 12 integers that are factors of 1035. The greatest factor of 1035 is 1035.

4. How to Find the LCM of 1033 and 1035?

Answer:

Least Common Multiple of 1033 and 1035 = 1069155

Step 1: Find the prime factorization of 1033

1033 = 1033

Step 2: Find the prime factorization of 1035

1035 = 3 x 3 x 5 x 23

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

LCM = 1069155 = 3 x 3 x 5 x 23 x 1033

Step 4: Therefore, the least common multiple of 1033 and 1035 is 1069155.