Least Common Multiple of 2038 and 2044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2038 and 2044 the smallest integer that is 2082836 that is divisible by both numbers.

Least Common Multiple (LCM) of 2038 and 2044 is 2082836.

LCM(2038,2044) = 2082836

LCM of 2038 and 2044

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

LCM of:
and

Least Common Multiple of 2038 and 2044

LCM of 2038 and 2044 is 2082836

Least common multiple can be found by multiplying the highest exponent prime factors of 2038 and 2044. First we will calculate the prime factors of 2038 and 2044.

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

Prime Factorization of 2044


2 2044
2 1022
7 511
73 73
1

Prime factors of 2044 are 2, 7,73. Prime factorization of 2044 in exponential form is:

2044 = 22×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 2038 and 2044.

LCM(2038,2044) = 22×71×731×10191
LCM(2038,2044) = 2082836

Factors of 2038

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

1, 2, 1019, 2038

Factors of 2044

List of positive integer factors of 2044 that divides 2044 without a remainder.

1, 2, 4, 7, 14, 28, 73, 146, 292, 511, 1022, 2044

Least Common Multiple of 2038 and 2044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2038 and 2044, than apply into the LCM equation.

GCF(2038,2044) = 2
LCM(2038,2044) = ( 2038 × 2044) / 2
LCM(2038,2044) = 4165672 / 2
LCM(2038,2044) = 2082836

Properties of LCM 2038 and 2044

(i) The LCM of 2044 and 2038 is associative

LCM of 2038 and 2044 = LCM of 2044 and 2038

Related Least Common Multiples of 2038

Related Least Common Multiples of 2044

Frequently Asked Questions on LCM of 2038 and 2044

1. What is the LCM of 2038 and 2044?

Answer: LCM of 2038 and 2044 is 2082836.

2. 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.

3. What are the Factors of 2044?

Answer: Factors of 2044 are 1, 2, 4, 7, 14, 28, 73, 146, 292, 511, 1022, 2044. There are 12 integers that are factors of 2044. The greatest factor of 2044 is 2044.

4. How to Find the LCM of 2038 and 2044?

Answer:

Least Common Multiple of 2038 and 2044 = 2082836

Step 1: Find the prime factorization of 2038

2038 = 2 x 1019

Step 2: Find the prime factorization of 2044

2044 = 2 x 2 x 7 x 73

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

LCM = 2082836 = 2 x 2 x 7 x 73 x 1019

Step 4: Therefore, the least common multiple of 2038 and 2044 is 2082836.