Least Common Multiple of 2042 and 2048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2042 and 2048 the smallest integer that is 2091008 that is divisible by both numbers.

Least Common Multiple (LCM) of 2042 and 2048 is 2091008.

LCM(2042,2048) = 2091008

LCM of 2042 and 2048

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

LCM of:
and

Least Common Multiple of 2042 and 2048

LCM of 2042 and 2048 is 2091008

Least common multiple can be found by multiplying the highest exponent prime factors of 2042 and 2048. First we will calculate the prime factors of 2042 and 2048.

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

Prime Factorization of 2048


2 2048
2 1024
2 512
2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 2048 are 2. Prime factorization of 2048 in exponential form is:

2048 = 211

Now multiplying the highest exponent prime factors to calculate the LCM of 2042 and 2048.

LCM(2042,2048) = 211×10211
LCM(2042,2048) = 2091008

Factors of 2042

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

1, 2, 1021, 2042

Factors of 2048

List of positive integer factors of 2048 that divides 2048 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048

Least Common Multiple of 2042 and 2048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2042 and 2048, than apply into the LCM equation.

GCF(2042,2048) = 2
LCM(2042,2048) = ( 2042 × 2048) / 2
LCM(2042,2048) = 4182016 / 2
LCM(2042,2048) = 2091008

Properties of LCM 2042 and 2048

(i) The LCM of 2048 and 2042 is associative

LCM of 2042 and 2048 = LCM of 2048 and 2042

Related Least Common Multiples of 2042

Related Least Common Multiples of 2048

Frequently Asked Questions on LCM of 2042 and 2048

1. What is the LCM of 2042 and 2048?

Answer: LCM of 2042 and 2048 is 2091008.

2. 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.

3. What are the Factors of 2048?

Answer: Factors of 2048 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048. There are 12 integers that are factors of 2048. The greatest factor of 2048 is 2048.

4. How to Find the LCM of 2042 and 2048?

Answer:

Least Common Multiple of 2042 and 2048 = 2091008

Step 1: Find the prime factorization of 2042

2042 = 2 x 1021

Step 2: Find the prime factorization of 2048

2048 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

LCM = 2091008 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 1021

Step 4: Therefore, the least common multiple of 2042 and 2048 is 2091008.