Least Common Multiple of 1034 and 1042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1034 and 1042 the smallest integer that is 538714 that is divisible by both numbers.

Least Common Multiple (LCM) of 1034 and 1042 is 538714.

LCM(1034,1042) = 538714

LCM of 1034 and 1042

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

LCM of:
and

Least Common Multiple of 1034 and 1042

LCM of 1034 and 1042 is 538714

Least common multiple can be found by multiplying the highest exponent prime factors of 1034 and 1042. First we will calculate the prime factors of 1034 and 1042.

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

Prime Factorization of 1042


2 1042
521 521
1

Prime factors of 1042 are 2,521. Prime factorization of 1042 in exponential form is:

1042 = 21×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 1034 and 1042.

LCM(1034,1042) = 21×111×471×5211
LCM(1034,1042) = 538714

Factors of 1034

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

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

Factors of 1042

List of positive integer factors of 1042 that divides 1042 without a remainder.

1, 2, 521, 1042

Least Common Multiple of 1034 and 1042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1034 and 1042, than apply into the LCM equation.

GCF(1034,1042) = 2
LCM(1034,1042) = ( 1034 × 1042) / 2
LCM(1034,1042) = 1077428 / 2
LCM(1034,1042) = 538714

Properties of LCM 1034 and 1042

(i) The LCM of 1042 and 1034 is associative

LCM of 1034 and 1042 = LCM of 1042 and 1034

Related Least Common Multiples of 1034

Related Least Common Multiples of 1042

Frequently Asked Questions on LCM of 1034 and 1042

1. What is the LCM of 1034 and 1042?

Answer: LCM of 1034 and 1042 is 538714.

2. 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.

3. What are the Factors of 1042?

Answer: Factors of 1042 are 1, 2, 521, 1042. There are 4 integers that are factors of 1042. The greatest factor of 1042 is 1042.

4. How to Find the LCM of 1034 and 1042?

Answer:

Least Common Multiple of 1034 and 1042 = 538714

Step 1: Find the prime factorization of 1034

1034 = 2 x 11 x 47

Step 2: Find the prime factorization of 1042

1042 = 2 x 521

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

LCM = 538714 = 2 x 11 x 47 x 521

Step 4: Therefore, the least common multiple of 1034 and 1042 is 538714.