Least Common Multiple of 1033 and 1039

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 1039 the smallest integer that is 1073287 that is divisible by both numbers.

Least Common Multiple (LCM) of 1033 and 1039 is 1073287.

LCM(1033,1039) = 1073287

LCM of 1033 and 1039

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

LCM of:
and

Least Common Multiple of 1033 and 1039

LCM of 1033 and 1039 is 1073287

Least common multiple can be found by multiplying the highest exponent prime factors of 1033 and 1039. First we will calculate the prime factors of 1033 and 1039.

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 1039


1039 1039
1

Prime factors of 1039 are 1039. Prime factorization of 1039 in exponential form is:

1039 = 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 1033 and 1039.

LCM(1033,1039) = 10331×10391
LCM(1033,1039) = 1073287

Factors of 1033

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

1, 1033

Factors of 1039

List of positive integer factors of 1039 that divides 1039 without a remainder.

1, 1039

Least Common Multiple of 1033 and 1039 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 1039, than apply into the LCM equation.

GCF(1033,1039) = 1
LCM(1033,1039) = ( 1033 × 1039) / 1
LCM(1033,1039) = 1073287 / 1
LCM(1033,1039) = 1073287

Properties of LCM 1033 and 1039

(i) The LCM of 1039 and 1033 is associative

LCM of 1033 and 1039 = LCM of 1039 and 1033

Related Least Common Multiples of 1033

Related Least Common Multiples of 1039

Frequently Asked Questions on LCM of 1033 and 1039

1. What is the LCM of 1033 and 1039?

Answer: LCM of 1033 and 1039 is 1073287.

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 1039?

Answer: Factors of 1039 are 1, 1039. There are 2 integers that are factors of 1039. The greatest factor of 1039 is 1039.

4. How to Find the LCM of 1033 and 1039?

Answer:

Least Common Multiple of 1033 and 1039 = 1073287

Step 1: Find the prime factorization of 1033

1033 = 1033

Step 2: Find the prime factorization of 1039

1039 = 1039

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

LCM = 1073287 = 1033 x 1039

Step 4: Therefore, the least common multiple of 1033 and 1039 is 1073287.