Least Common Multiple of 1053 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 1053 and 1056 the smallest integer that is 370656 that is divisible by both numbers.

Least Common Multiple (LCM) of 1053 and 1056 is 370656.

LCM(1053,1056) = 370656

LCM of 1053 and 1056

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

LCM of:
and

Least Common Multiple of 1053 and 1056

LCM of 1053 and 1056 is 370656

Least common multiple can be found by multiplying the highest exponent prime factors of 1053 and 1056. First we will calculate the prime factors of 1053 and 1056.

Prime Factorization of 1053


3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 1053 are 3,13. Prime factorization of 1053 in exponential form is:

1053 = 34×131

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 1053 and 1056.

LCM(1053,1056) = 25×34×111×131
LCM(1053,1056) = 370656

Factors of 1053

List of positive integer factors of 1053 that divides 1053 without a remainder.

1, 3, 9, 13, 27, 39, 81, 117, 351, 1053

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 1053 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 1053 and 1056, than apply into the LCM equation.

GCF(1053,1056) = 3
LCM(1053,1056) = ( 1053 × 1056) / 3
LCM(1053,1056) = 1111968 / 3
LCM(1053,1056) = 370656

Properties of LCM 1053 and 1056

(i) The LCM of 1056 and 1053 is associative

LCM of 1053 and 1056 = LCM of 1056 and 1053

Related Least Common Multiples of 1053

Related Least Common Multiples of 1056

Frequently Asked Questions on LCM of 1053 and 1056

1. What is the LCM of 1053 and 1056?

Answer: LCM of 1053 and 1056 is 370656.

2. What are the Factors of 1053?

Answer: Factors of 1053 are 1, 3, 9, 13, 27, 39, 81, 117, 351, 1053. There are 10 integers that are factors of 1053. The greatest factor of 1053 is 1053.

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 1053 and 1056?

Answer:

Least Common Multiple of 1053 and 1056 = 370656

Step 1: Find the prime factorization of 1053

1053 = 3 x 3 x 3 x 3 x 13

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 = 370656 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11 x 13

Step 4: Therefore, the least common multiple of 1053 and 1056 is 370656.