Least Common Multiple of 1056 and 1057

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1056 and 1057 the smallest integer that is 1116192 that is divisible by both numbers.

Least Common Multiple (LCM) of 1056 and 1057 is 1116192.

LCM(1056,1057) = 1116192

LCM of 1056 and 1057

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

LCM of:
and

Least Common Multiple of 1056 and 1057

LCM of 1056 and 1057 is 1116192

Least common multiple can be found by multiplying the highest exponent prime factors of 1056 and 1057. First we will calculate the prime factors of 1056 and 1057.

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

Prime Factorization of 1057


7 1057
151 151
1

Prime factors of 1057 are 7,151. Prime factorization of 1057 in exponential form is:

1057 = 71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1056 and 1057.

LCM(1056,1057) = 25×31×71×111×1511
LCM(1056,1057) = 1116192

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

Factors of 1057

List of positive integer factors of 1057 that divides 1057 without a remainder.

1, 7, 151, 1057

Least Common Multiple of 1056 and 1057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1056 and 1057, than apply into the LCM equation.

GCF(1056,1057) = 1
LCM(1056,1057) = ( 1056 × 1057) / 1
LCM(1056,1057) = 1116192 / 1
LCM(1056,1057) = 1116192

Properties of LCM 1056 and 1057

(i) The LCM of 1057 and 1056 is associative

LCM of 1056 and 1057 = LCM of 1057 and 1056

Related Least Common Multiples of 1056

Related Least Common Multiples of 1057

Frequently Asked Questions on LCM of 1056 and 1057

1. What is the LCM of 1056 and 1057?

Answer: LCM of 1056 and 1057 is 1116192.

2. 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.

3. What are the Factors of 1057?

Answer: Factors of 1057 are 1, 7, 151, 1057. There are 4 integers that are factors of 1057. The greatest factor of 1057 is 1057.

4. How to Find the LCM of 1056 and 1057?

Answer:

Least Common Multiple of 1056 and 1057 = 1116192

Step 1: Find the prime factorization of 1056

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

Step 2: Find the prime factorization of 1057

1057 = 7 x 151

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

LCM = 1116192 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 151

Step 4: Therefore, the least common multiple of 1056 and 1057 is 1116192.