Least Common Multiple of 1052 and 1056

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1052 and 1056 the smallest integer that is 277728 that is divisible by both numbers.

Least Common Multiple (LCM) of 1052 and 1056 is 277728.

LCM(1052,1056) = 277728

LCM of 1052 and 1056

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

LCM of:
and

Least Common Multiple of 1052 and 1056

LCM of 1052 and 1056 is 277728

Least common multiple can be found by multiplying the highest exponent prime factors of 1052 and 1056. First we will calculate the prime factors of 1052 and 1056.

Prime Factorization of 1052


2 1052
2 526
263 263
1

Prime factors of 1052 are 2,263. Prime factorization of 1052 in exponential form is:

1052 = 22×2631

Prime Factorization of 1056


2 1056
2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 1056 are 2, 3,11. Prime factorization of 1056 in exponential form is:

1056 = 25×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1052 and 1056.

LCM(1052,1056) = 25×31×111×2631
LCM(1052,1056) = 277728

Factors of 1052

List of positive integer factors of 1052 that divides 1052 without a remainder.

1, 2, 4, 263, 526, 1052

Factors of 1056

List of positive integer factors of 1056 that divides 1056 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056

Least Common Multiple of 1052 and 1056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1052 and 1056, than apply into the LCM equation.

GCF(1052,1056) = 4
LCM(1052,1056) = ( 1052 × 1056) / 4
LCM(1052,1056) = 1110912 / 4
LCM(1052,1056) = 277728

Properties of LCM 1052 and 1056

(i) The LCM of 1056 and 1052 is associative

LCM of 1052 and 1056 = LCM of 1056 and 1052

Related Least Common Multiples of 1052

Related Least Common Multiples of 1056

Frequently Asked Questions on LCM of 1052 and 1056

1. What is the LCM of 1052 and 1056?

Answer: LCM of 1052 and 1056 is 277728.

2. What are the Factors of 1052?

Answer: Factors of 1052 are 1, 2, 4, 263, 526, 1052. There are 6 integers that are factors of 1052. The greatest factor of 1052 is 1052.

3. What are the Factors of 1056?

Answer: Factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056. There are 24 integers that are factors of 1056. The greatest factor of 1056 is 1056.

4. How to Find the LCM of 1052 and 1056?

Answer:

Least Common Multiple of 1052 and 1056 = 277728

Step 1: Find the prime factorization of 1052

1052 = 2 x 2 x 263

Step 2: Find the prime factorization of 1056

1056 = 2 x 2 x 2 x 2 x 2 x 3 x 11

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

LCM = 277728 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 263

Step 4: Therefore, the least common multiple of 1052 and 1056 is 277728.