Least Common Multiple of 2048 and 2052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2048 and 2052 the smallest integer that is 1050624 that is divisible by both numbers.

Least Common Multiple (LCM) of 2048 and 2052 is 1050624.

LCM(2048,2052) = 1050624

LCM of 2048 and 2052

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

LCM of:
and

Least Common Multiple of 2048 and 2052

LCM of 2048 and 2052 is 1050624

Least common multiple can be found by multiplying the highest exponent prime factors of 2048 and 2052. First we will calculate the prime factors of 2048 and 2052.

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

Prime Factorization of 2052


2 2052
2 1026
3 513
3 171
3 57
19 19
1

Prime factors of 2052 are 2, 3,19. Prime factorization of 2052 in exponential form is:

2052 = 22×33×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2048 and 2052.

LCM(2048,2052) = 211×33×191
LCM(2048,2052) = 1050624

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

Factors of 2052

List of positive integer factors of 2052 that divides 2052 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026, 2052

Least Common Multiple of 2048 and 2052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2048 and 2052, than apply into the LCM equation.

GCF(2048,2052) = 4
LCM(2048,2052) = ( 2048 × 2052) / 4
LCM(2048,2052) = 4202496 / 4
LCM(2048,2052) = 1050624

Properties of LCM 2048 and 2052

(i) The LCM of 2052 and 2048 is associative

LCM of 2048 and 2052 = LCM of 2052 and 2048

Related Least Common Multiples of 2048

Related Least Common Multiples of 2052

Frequently Asked Questions on LCM of 2048 and 2052

1. What is the LCM of 2048 and 2052?

Answer: LCM of 2048 and 2052 is 1050624.

2. 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.

3. What are the Factors of 2052?

Answer: Factors of 2052 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026, 2052. There are 24 integers that are factors of 2052. The greatest factor of 2052 is 2052.

4. How to Find the LCM of 2048 and 2052?

Answer:

Least Common Multiple of 2048 and 2052 = 1050624

Step 1: 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 2: Find the prime factorization of 2052

2052 = 2 x 2 x 3 x 3 x 3 x 19

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

LCM = 1050624 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 19

Step 4: Therefore, the least common multiple of 2048 and 2052 is 1050624.