Least Common Multiple of 1055 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 1055 and 1056 the smallest integer that is 1114080 that is divisible by both numbers.

Least Common Multiple (LCM) of 1055 and 1056 is 1114080.

LCM(1055,1056) = 1114080

LCM of 1055 and 1056

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

LCM of:
and

Least Common Multiple of 1055 and 1056

LCM of 1055 and 1056 is 1114080

Least common multiple can be found by multiplying the highest exponent prime factors of 1055 and 1056. First we will calculate the prime factors of 1055 and 1056.

Prime Factorization of 1055


5 1055
211 211
1

Prime factors of 1055 are 5,211. Prime factorization of 1055 in exponential form is:

1055 = 51×2111

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 1055 and 1056.

LCM(1055,1056) = 25×31×51×111×2111
LCM(1055,1056) = 1114080

Factors of 1055

List of positive integer factors of 1055 that divides 1055 without a remainder.

1, 5, 211, 1055

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 1055 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 1055 and 1056, than apply into the LCM equation.

GCF(1055,1056) = 1
LCM(1055,1056) = ( 1055 × 1056) / 1
LCM(1055,1056) = 1114080 / 1
LCM(1055,1056) = 1114080

Properties of LCM 1055 and 1056

(i) The LCM of 1056 and 1055 is associative

LCM of 1055 and 1056 = LCM of 1056 and 1055

Related Least Common Multiples of 1055

Related Least Common Multiples of 1056

Frequently Asked Questions on LCM of 1055 and 1056

1. What is the LCM of 1055 and 1056?

Answer: LCM of 1055 and 1056 is 1114080.

2. What are the Factors of 1055?

Answer: Factors of 1055 are 1, 5, 211, 1055. There are 4 integers that are factors of 1055. The greatest factor of 1055 is 1055.

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 1055 and 1056?

Answer:

Least Common Multiple of 1055 and 1056 = 1114080

Step 1: Find the prime factorization of 1055

1055 = 5 x 211

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 = 1114080 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 211

Step 4: Therefore, the least common multiple of 1055 and 1056 is 1114080.