Least Common Multiple of 2034 and 2038

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 2038 the smallest integer that is 2072646 that is divisible by both numbers.

Least Common Multiple (LCM) of 2034 and 2038 is 2072646.

LCM(2034,2038) = 2072646

LCM of 2034 and 2038

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

LCM of:
and

Least Common Multiple of 2034 and 2038

LCM of 2034 and 2038 is 2072646

Least common multiple can be found by multiplying the highest exponent prime factors of 2034 and 2038. First we will calculate the prime factors of 2034 and 2038.

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 2038


2 2038
1019 1019
1

Prime factors of 2038 are 2,1019. Prime factorization of 2038 in exponential form is:

2038 = 21×10191

Now multiplying the highest exponent prime factors to calculate the LCM of 2034 and 2038.

LCM(2034,2038) = 21×32×1131×10191
LCM(2034,2038) = 2072646

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 2038

List of positive integer factors of 2038 that divides 2038 without a remainder.

1, 2, 1019, 2038

Least Common Multiple of 2034 and 2038 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 2038, than apply into the LCM equation.

GCF(2034,2038) = 2
LCM(2034,2038) = ( 2034 × 2038) / 2
LCM(2034,2038) = 4145292 / 2
LCM(2034,2038) = 2072646

Properties of LCM 2034 and 2038

(i) The LCM of 2038 and 2034 is associative

LCM of 2034 and 2038 = LCM of 2038 and 2034

Related Least Common Multiples of 2034

Related Least Common Multiples of 2038

Frequently Asked Questions on LCM of 2034 and 2038

1. What is the LCM of 2034 and 2038?

Answer: LCM of 2034 and 2038 is 2072646.

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 2038?

Answer: Factors of 2038 are 1, 2, 1019, 2038. There are 4 integers that are factors of 2038. The greatest factor of 2038 is 2038.

4. How to Find the LCM of 2034 and 2038?

Answer:

Least Common Multiple of 2034 and 2038 = 2072646

Step 1: Find the prime factorization of 2034

2034 = 2 x 3 x 3 x 113

Step 2: Find the prime factorization of 2038

2038 = 2 x 1019

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

LCM = 2072646 = 2 x 3 x 3 x 113 x 1019

Step 4: Therefore, the least common multiple of 2034 and 2038 is 2072646.