Least Common Multiple of 2052 and 2056

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2052 and 2056 the smallest integer that is 1054728 that is divisible by both numbers.

Least Common Multiple (LCM) of 2052 and 2056 is 1054728.

LCM(2052,2056) = 1054728

LCM of 2052 and 2056

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

LCM of:
and

Least Common Multiple of 2052 and 2056

LCM of 2052 and 2056 is 1054728

Least common multiple can be found by multiplying the highest exponent prime factors of 2052 and 2056. First we will calculate the prime factors of 2052 and 2056.

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

Prime Factorization of 2056


2 2056
2 1028
2 514
257 257
1

Prime factors of 2056 are 2,257. Prime factorization of 2056 in exponential form is:

2056 = 23×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 2052 and 2056.

LCM(2052,2056) = 23×33×191×2571
LCM(2052,2056) = 1054728

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

Factors of 2056

List of positive integer factors of 2056 that divides 2056 without a remainder.

1, 2, 4, 8, 257, 514, 1028, 2056

Least Common Multiple of 2052 and 2056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2052 and 2056, than apply into the LCM equation.

GCF(2052,2056) = 4
LCM(2052,2056) = ( 2052 × 2056) / 4
LCM(2052,2056) = 4218912 / 4
LCM(2052,2056) = 1054728

Properties of LCM 2052 and 2056

(i) The LCM of 2056 and 2052 is associative

LCM of 2052 and 2056 = LCM of 2056 and 2052

Related Least Common Multiples of 2052

Related Least Common Multiples of 2056

Frequently Asked Questions on LCM of 2052 and 2056

1. What is the LCM of 2052 and 2056?

Answer: LCM of 2052 and 2056 is 1054728.

2. 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.

3. What are the Factors of 2056?

Answer: Factors of 2056 are 1, 2, 4, 8, 257, 514, 1028, 2056. There are 8 integers that are factors of 2056. The greatest factor of 2056 is 2056.

4. How to Find the LCM of 2052 and 2056?

Answer:

Least Common Multiple of 2052 and 2056 = 1054728

Step 1: Find the prime factorization of 2052

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

Step 2: Find the prime factorization of 2056

2056 = 2 x 2 x 2 x 257

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

LCM = 1054728 = 2 x 2 x 2 x 3 x 3 x 3 x 19 x 257

Step 4: Therefore, the least common multiple of 2052 and 2056 is 1054728.