Least Common Multiple of 2034 and 2042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2034 and 2042 the smallest integer that is 2076714 that is divisible by both numbers.

Least Common Multiple (LCM) of 2034 and 2042 is 2076714.

LCM(2034,2042) = 2076714

LCM of 2034 and 2042

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

LCM of:
and

Least Common Multiple of 2034 and 2042

LCM of 2034 and 2042 is 2076714

Least common multiple can be found by multiplying the highest exponent prime factors of 2034 and 2042. First we will calculate the prime factors of 2034 and 2042.

Prime Factorization of 2034


2 2034
3 1017
3 339
113 113
1

Prime factors of 2034 are 2, 3,113. Prime factorization of 2034 in exponential form is:

2034 = 21×32×1131

Prime Factorization of 2042


2 2042
1021 1021
1

Prime factors of 2042 are 2,1021. Prime factorization of 2042 in exponential form is:

2042 = 21×10211

Now multiplying the highest exponent prime factors to calculate the LCM of 2034 and 2042.

LCM(2034,2042) = 21×32×1131×10211
LCM(2034,2042) = 2076714

Factors of 2034

List of positive integer factors of 2034 that divides 2034 without a remainder.

1, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 2034

Factors of 2042

List of positive integer factors of 2042 that divides 2042 without a remainder.

1, 2, 1021, 2042

Least Common Multiple of 2034 and 2042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2034 and 2042, than apply into the LCM equation.

GCF(2034,2042) = 2
LCM(2034,2042) = ( 2034 × 2042) / 2
LCM(2034,2042) = 4153428 / 2
LCM(2034,2042) = 2076714

Properties of LCM 2034 and 2042

(i) The LCM of 2042 and 2034 is associative

LCM of 2034 and 2042 = LCM of 2042 and 2034

Related Least Common Multiples of 2034

Related Least Common Multiples of 2042

Frequently Asked Questions on LCM of 2034 and 2042

1. What is the LCM of 2034 and 2042?

Answer: LCM of 2034 and 2042 is 2076714.

2. What are the Factors of 2034?

Answer: Factors of 2034 are 1, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 2034. There are 12 integers that are factors of 2034. The greatest factor of 2034 is 2034.

3. What are the Factors of 2042?

Answer: Factors of 2042 are 1, 2, 1021, 2042. There are 4 integers that are factors of 2042. The greatest factor of 2042 is 2042.

4. How to Find the LCM of 2034 and 2042?

Answer:

Least Common Multiple of 2034 and 2042 = 2076714

Step 1: Find the prime factorization of 2034

2034 = 2 x 3 x 3 x 113

Step 2: Find the prime factorization of 2042

2042 = 2 x 1021

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

LCM = 2076714 = 2 x 3 x 3 x 113 x 1021

Step 4: Therefore, the least common multiple of 2034 and 2042 is 2076714.