Least Common Multiple of 1056 and 1058

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 1058 the smallest integer that is 558624 that is divisible by both numbers.

Least Common Multiple (LCM) of 1056 and 1058 is 558624.

LCM(1056,1058) = 558624

LCM of 1056 and 1058

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

LCM of:
and

Least Common Multiple of 1056 and 1058

LCM of 1056 and 1058 is 558624

Least common multiple can be found by multiplying the highest exponent prime factors of 1056 and 1058. First we will calculate the prime factors of 1056 and 1058.

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 1058


2 1058
23 529
23 23
1

Prime factors of 1058 are 2,23. Prime factorization of 1058 in exponential form is:

1058 = 21×232

Now multiplying the highest exponent prime factors to calculate the LCM of 1056 and 1058.

LCM(1056,1058) = 25×31×111×232
LCM(1056,1058) = 558624

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 1058

List of positive integer factors of 1058 that divides 1058 without a remainder.

1, 2, 23, 46, 529, 1058

Least Common Multiple of 1056 and 1058 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 1058, than apply into the LCM equation.

GCF(1056,1058) = 2
LCM(1056,1058) = ( 1056 × 1058) / 2
LCM(1056,1058) = 1117248 / 2
LCM(1056,1058) = 558624

Properties of LCM 1056 and 1058

(i) The LCM of 1058 and 1056 is associative

LCM of 1056 and 1058 = LCM of 1058 and 1056

Related Least Common Multiples of 1056

Related Least Common Multiples of 1058

Frequently Asked Questions on LCM of 1056 and 1058

1. What is the LCM of 1056 and 1058?

Answer: LCM of 1056 and 1058 is 558624.

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 1058?

Answer: Factors of 1058 are 1, 2, 23, 46, 529, 1058. There are 6 integers that are factors of 1058. The greatest factor of 1058 is 1058.

4. How to Find the LCM of 1056 and 1058?

Answer:

Least Common Multiple of 1056 and 1058 = 558624

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 1058

1058 = 2 x 23 x 23

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

LCM = 558624 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 23 x 23

Step 4: Therefore, the least common multiple of 1056 and 1058 is 558624.