Least Common Multiple of 1033 and 1036

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 1036 the smallest integer that is 1070188 that is divisible by both numbers.

Least Common Multiple (LCM) of 1033 and 1036 is 1070188.

LCM(1033,1036) = 1070188

LCM of 1033 and 1036

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

LCM of:
and

Least Common Multiple of 1033 and 1036

LCM of 1033 and 1036 is 1070188

Least common multiple can be found by multiplying the highest exponent prime factors of 1033 and 1036. First we will calculate the prime factors of 1033 and 1036.

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 1036


2 1036
2 518
7 259
37 37
1

Prime factors of 1036 are 2, 7,37. Prime factorization of 1036 in exponential form is:

1036 = 22×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1033 and 1036.

LCM(1033,1036) = 22×71×371×10331
LCM(1033,1036) = 1070188

Factors of 1033

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

1, 1033

Factors of 1036

List of positive integer factors of 1036 that divides 1036 without a remainder.

1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036

Least Common Multiple of 1033 and 1036 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 1036, than apply into the LCM equation.

GCF(1033,1036) = 1
LCM(1033,1036) = ( 1033 × 1036) / 1
LCM(1033,1036) = 1070188 / 1
LCM(1033,1036) = 1070188

Properties of LCM 1033 and 1036

(i) The LCM of 1036 and 1033 is associative

LCM of 1033 and 1036 = LCM of 1036 and 1033

Related Least Common Multiples of 1033

Related Least Common Multiples of 1036

Frequently Asked Questions on LCM of 1033 and 1036

1. What is the LCM of 1033 and 1036?

Answer: LCM of 1033 and 1036 is 1070188.

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 1036?

Answer: Factors of 1036 are 1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036. There are 12 integers that are factors of 1036. The greatest factor of 1036 is 1036.

4. How to Find the LCM of 1033 and 1036?

Answer:

Least Common Multiple of 1033 and 1036 = 1070188

Step 1: Find the prime factorization of 1033

1033 = 1033

Step 2: Find the prime factorization of 1036

1036 = 2 x 2 x 7 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 = 1070188 = 2 x 2 x 7 x 37 x 1033

Step 4: Therefore, the least common multiple of 1033 and 1036 is 1070188.