Least Common Multiple of 1033 and 1040

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 1040 the smallest integer that is 1074320 that is divisible by both numbers.

Least Common Multiple (LCM) of 1033 and 1040 is 1074320.

LCM(1033,1040) = 1074320

LCM of 1033 and 1040

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

LCM of:
and

Least Common Multiple of 1033 and 1040

LCM of 1033 and 1040 is 1074320

Least common multiple can be found by multiplying the highest exponent prime factors of 1033 and 1040. First we will calculate the prime factors of 1033 and 1040.

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 1040


2 1040
2 520
2 260
2 130
5 65
13 13
1

Prime factors of 1040 are 2, 5,13. Prime factorization of 1040 in exponential form is:

1040 = 24×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1033 and 1040.

LCM(1033,1040) = 24×51×131×10331
LCM(1033,1040) = 1074320

Factors of 1033

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

1, 1033

Factors of 1040

List of positive integer factors of 1040 that divides 1040 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040

Least Common Multiple of 1033 and 1040 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 1040, than apply into the LCM equation.

GCF(1033,1040) = 1
LCM(1033,1040) = ( 1033 × 1040) / 1
LCM(1033,1040) = 1074320 / 1
LCM(1033,1040) = 1074320

Properties of LCM 1033 and 1040

(i) The LCM of 1040 and 1033 is associative

LCM of 1033 and 1040 = LCM of 1040 and 1033

Related Least Common Multiples of 1033

Related Least Common Multiples of 1040

Frequently Asked Questions on LCM of 1033 and 1040

1. What is the LCM of 1033 and 1040?

Answer: LCM of 1033 and 1040 is 1074320.

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 1040?

Answer: Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040. There are 20 integers that are factors of 1040. The greatest factor of 1040 is 1040.

4. How to Find the LCM of 1033 and 1040?

Answer:

Least Common Multiple of 1033 and 1040 = 1074320

Step 1: Find the prime factorization of 1033

1033 = 1033

Step 2: Find the prime factorization of 1040

1040 = 2 x 2 x 2 x 2 x 5 x 13

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

LCM = 1074320 = 2 x 2 x 2 x 2 x 5 x 13 x 1033

Step 4: Therefore, the least common multiple of 1033 and 1040 is 1074320.