Least Common Multiple of 1033 and 1034

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 1034 the smallest integer that is 1068122 that is divisible by both numbers.

Least Common Multiple (LCM) of 1033 and 1034 is 1068122.

LCM(1033,1034) = 1068122

LCM of 1033 and 1034

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

LCM of:
and

Least Common Multiple of 1033 and 1034

LCM of 1033 and 1034 is 1068122

Least common multiple can be found by multiplying the highest exponent prime factors of 1033 and 1034. First we will calculate the prime factors of 1033 and 1034.

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 1034


2 1034
11 517
47 47
1

Prime factors of 1034 are 2, 11,47. Prime factorization of 1034 in exponential form is:

1034 = 21×111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1033 and 1034.

LCM(1033,1034) = 21×111×471×10331
LCM(1033,1034) = 1068122

Factors of 1033

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

1, 1033

Factors of 1034

List of positive integer factors of 1034 that divides 1034 without a remainder.

1, 2, 11, 22, 47, 94, 517, 1034

Least Common Multiple of 1033 and 1034 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 1034, than apply into the LCM equation.

GCF(1033,1034) = 1
LCM(1033,1034) = ( 1033 × 1034) / 1
LCM(1033,1034) = 1068122 / 1
LCM(1033,1034) = 1068122

Properties of LCM 1033 and 1034

(i) The LCM of 1034 and 1033 is associative

LCM of 1033 and 1034 = LCM of 1034 and 1033

Related Least Common Multiples of 1033

Related Least Common Multiples of 1034

Frequently Asked Questions on LCM of 1033 and 1034

1. What is the LCM of 1033 and 1034?

Answer: LCM of 1033 and 1034 is 1068122.

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 1034?

Answer: Factors of 1034 are 1, 2, 11, 22, 47, 94, 517, 1034. There are 8 integers that are factors of 1034. The greatest factor of 1034 is 1034.

4. How to Find the LCM of 1033 and 1034?

Answer:

Least Common Multiple of 1033 and 1034 = 1068122

Step 1: Find the prime factorization of 1033

1033 = 1033

Step 2: Find the prime factorization of 1034

1034 = 2 x 11 x 47

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

LCM = 1068122 = 2 x 11 x 47 x 1033

Step 4: Therefore, the least common multiple of 1033 and 1034 is 1068122.