Least Common Multiple of 1056 and 1062

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 1062 the smallest integer that is 186912 that is divisible by both numbers.

Least Common Multiple (LCM) of 1056 and 1062 is 186912.

LCM(1056,1062) = 186912

LCM of 1056 and 1062

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

LCM of:
and

Least Common Multiple of 1056 and 1062

LCM of 1056 and 1062 is 186912

Least common multiple can be found by multiplying the highest exponent prime factors of 1056 and 1062. First we will calculate the prime factors of 1056 and 1062.

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 1062


2 1062
3 531
3 177
59 59
1

Prime factors of 1062 are 2, 3,59. Prime factorization of 1062 in exponential form is:

1062 = 21×32×591

Now multiplying the highest exponent prime factors to calculate the LCM of 1056 and 1062.

LCM(1056,1062) = 25×32×111×591
LCM(1056,1062) = 186912

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 1062

List of positive integer factors of 1062 that divides 1062 without a remainder.

1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062

Least Common Multiple of 1056 and 1062 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 1062, than apply into the LCM equation.

GCF(1056,1062) = 6
LCM(1056,1062) = ( 1056 × 1062) / 6
LCM(1056,1062) = 1121472 / 6
LCM(1056,1062) = 186912

Properties of LCM 1056 and 1062

(i) The LCM of 1062 and 1056 is associative

LCM of 1056 and 1062 = LCM of 1062 and 1056

Related Least Common Multiples of 1056

Related Least Common Multiples of 1062

Frequently Asked Questions on LCM of 1056 and 1062

1. What is the LCM of 1056 and 1062?

Answer: LCM of 1056 and 1062 is 186912.

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 1062?

Answer: Factors of 1062 are 1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062. There are 12 integers that are factors of 1062. The greatest factor of 1062 is 1062.

4. How to Find the LCM of 1056 and 1062?

Answer:

Least Common Multiple of 1056 and 1062 = 186912

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 1062

1062 = 2 x 3 x 3 x 59

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

LCM = 186912 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 59

Step 4: Therefore, the least common multiple of 1056 and 1062 is 186912.