Least Common Multiple of 1054 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 1054 and 1056 the smallest integer that is 556512 that is divisible by both numbers.

Least Common Multiple (LCM) of 1054 and 1056 is 556512.

LCM(1054,1056) = 556512

LCM of 1054 and 1056

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

LCM of:
and

Least Common Multiple of 1054 and 1056

LCM of 1054 and 1056 is 556512

Least common multiple can be found by multiplying the highest exponent prime factors of 1054 and 1056. First we will calculate the prime factors of 1054 and 1056.

Prime Factorization of 1054


2 1054
17 527
31 31
1

Prime factors of 1054 are 2, 17,31. Prime factorization of 1054 in exponential form is:

1054 = 21×171×311

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 1054 and 1056.

LCM(1054,1056) = 25×31×111×171×311
LCM(1054,1056) = 556512

Factors of 1054

List of positive integer factors of 1054 that divides 1054 without a remainder.

1, 2, 17, 31, 34, 62, 527, 1054

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 1054 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 1054 and 1056, than apply into the LCM equation.

GCF(1054,1056) = 2
LCM(1054,1056) = ( 1054 × 1056) / 2
LCM(1054,1056) = 1113024 / 2
LCM(1054,1056) = 556512

Properties of LCM 1054 and 1056

(i) The LCM of 1056 and 1054 is associative

LCM of 1054 and 1056 = LCM of 1056 and 1054

Related Least Common Multiples of 1054

Related Least Common Multiples of 1056

Frequently Asked Questions on LCM of 1054 and 1056

1. What is the LCM of 1054 and 1056?

Answer: LCM of 1054 and 1056 is 556512.

2. What are the Factors of 1054?

Answer: Factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054. There are 8 integers that are factors of 1054. The greatest factor of 1054 is 1054.

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 1054 and 1056?

Answer:

Least Common Multiple of 1054 and 1056 = 556512

Step 1: Find the prime factorization of 1054

1054 = 2 x 17 x 31

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 = 556512 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 17 x 31

Step 4: Therefore, the least common multiple of 1054 and 1056 is 556512.